Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order | Paper Citation Record

Observation bbd489df-887c-43a7-b5b3-937c1fc85991 · outbound

This paper cites On the theory of identical particles,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order On the theory of identical particles,

Reference 1

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This paper cites Wen,Quantum field theory of many-body systems: from the origin of sound to an origin of light and electrons(Oxford University Press on Demand, 2004).

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Wen,Quantum field theory of many-body systems: from the origin of sound to an origin of light and electrons(Oxford University Press on Demand, 2004)

Reference 2

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Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Unresolved cited work

Reference 3

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Observation e03f065f-ecb4-44e4-b15c-82845845b016 · outbound

This paper cites Fault-tolerant quantum computation by anyons.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Fault-tolerant quantum computation by anyons

Reference 4

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Observation 4d336f9e-d84d-45b0-8a76-f5bd9d4752d6 · outbound

This paper cites Wang,Topological quantum computation, CBMS No.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Wang,Topological quantum computation, CBMS No

Reference 5

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Observation ef7348b9-e7c5-4415-85d5-f1b7f10e12a1 · outbound

This paper cites Non-Abelian Anyons and Topological Quantum Computation.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Non-Abelian Anyons and Topological Quantum Computation

Reference 6

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Observation ca87c7f8-505d-4b6e-9a8c-6ae08af7600b · outbound

This paper cites Topological Order with a Twist: Ising Anyons from an Abelian Model.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Topological Order with a Twist: Ising Anyons from an Abelian Model

Reference 7

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Observation 460a4740-9689-4a8f-98d9-d3bb5c70dbbe · outbound

This paper cites Superconducting Proximity Effect on the Edge of Fractional Topological Insulators.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Superconducting Proximity Effect on the Edge of Fractional Topological Insulators

Reference 8

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Observation f3e839c0-f401-4a77-9c3b-115772511155 · outbound

This paper cites Majorana Zero Modes and Topological Quantum Computation.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Majorana Zero Modes and Topological Quantum Computation

Reference 9

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Observation 32133c1c-29ce-4212-af2b-71e5735ba6d2 · outbound

This paper cites On Defects Between Gapped Boundaries in Two-Dimensional Topological Phases of Matter.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order On Defects Between Gapped Boundaries in Two-Dimensional Topological Phases of Matter

Reference 10

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Observation 8cb99419-bb2f-4329-91ad-1431f5b54908 · outbound

This paper cites Models for gapped boundaries and domain walls.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Models for gapped boundaries and domain walls

Reference 11

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This paper cites Chirality for operator algebras,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Chirality for operator algebras,

Reference 12

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This paper cites Operator algebras, topology and subgroups of quantum symmetry – construction of subgroups of quantum groups –,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Operator algebras, topology and subgroups of quantum symmetry – construction of subgroups of quantum groups –,

Reference 13

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This paper cites The structure of sectors associated with Longo–Rehren inclusions I. General theory,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order The structure of sectors associated with Longo–Rehren inclusions I. General theory,

Reference 14

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Observation 46230ef6-3d92-4e4f-90d7-c48b1c290f4f · outbound

This paper cites From subfactors to categories and topology II: The quantum double of tensor categories and subfactors,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order From subfactors to categories and topology II: The quantum double of tensor categories and subfactors,

Reference 15

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Observation 33d4d20e-3567-4f35-afbe-cec7debc0af5 · outbound

This paper cites an unresolved cited work.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Unresolved cited work

Reference 16

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Observation d9edbf74-1722-4e5c-baf8-fabbfcbcaa72 · outbound

This paper cites A few remarks on the tube algebra of a monoidal category.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order A few remarks on the tube algebra of a monoidal category

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:19.727086Z

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Observation f85aa872-089f-4e8f-948f-64d3940c7e37 · outbound

This paper cites Cohomology and $L^2$-Betti numbers for subfactors and quasi-regular inclusions.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Cohomology and $L^2$-Betti numbers for subfactors and quasi-regular inclusions

Reference 18

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Observation 79aeef27-79d7-4c71-bafc-24ad5ab4f672 · outbound

This paper cites The Annular Structure of Subfactors.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order The Annular Structure of Subfactors

Reference 19

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Observation 977eca07-c08b-4299-b08f-9419c22efd40 · outbound

This paper cites Drinfeld centers for bimodule categories,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Drinfeld centers for bimodule categories,

Reference 20

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Observation 7a01f91c-5917-47fa-ae7e-8b8e5faa1b2a · outbound

This paper cites Tube Category, Tensor Renormalization and Topological Holography.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Tube Category, Tensor Renormalization and Topological Holography

Reference 21

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Observation d2d6bd7c-e4c6-4cb4-8868-5ffc2602af12 · outbound

This paper cites Computing data for Levin-Wen with defects.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Computing data for Levin-Wen with defects

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:19.651030Z

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Observation 4cee149d-ac72-4ba8-b24d-afbe8627d9c0 · outbound

This paper cites On the Representation Categories of Weak Hopf Algebras Arising from Levin-Wen Models.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order On the Representation Categories of Weak Hopf Algebras Arising from Levin-Wen Models

Reference 23

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Observation 96b32628-1615-4c65-9ec1-5d40ffab131c · outbound

This paper cites Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model

Reference 24

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Observation ecdae8ae-1314-4bda-8de4-0b5115c259d1 · outbound

This paper cites Domain walls in topological phases and the Brauer-Picard ring for $\operatorname{Vec}(\mathbb{Z}/p\mathbb{Z})$.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Domain walls in topological phases and the Brauer-Picard ring for $\operatorname{Vec}(\mathbb{Z}/p\mathbb{Z})$

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:19.597313Z

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Observation c7fee067-4453-4fcc-973d-f372bb970396 · outbound

This paper cites Computing associators of endomorphism fusion categories.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Computing associators of endomorphism fusion categories

Reference 26

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Observation 923ef7d0-ed9e-4478-8836-6a19cd8562f5 · outbound

This paper cites Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs,

Reference 27

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Observation 94bf3e2a-6d9b-4cd9-ab74-c2045efd4a8f · outbound

This paper cites Generalized tube algebras, symmetry-resolved partition functions, and twisted boundary states,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Generalized tube algebras, symmetry-resolved partition functions, and twisted boundary states,

Reference 28

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Observation d5ba9c2f-fd30-4c68-9acf-d4c7aaa08f07 · outbound

This paper cites Representation Theory of Solitons.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Representation Theory of Solitons

Reference 29

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Observation a71fdbe7-8cb7-4a6c-a430-426034a0f1dc · outbound

This paper cites A lattice model for condensation in Levin-Wen systems.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order A lattice model for condensation in Levin-Wen systems

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:19.427572Z

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Observation c60505bf-5432-432e-a3e4-72f05cd51546 · outbound

This paper cites Tube algebras, excitations statistics and compactification in gauge models of topological phases.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Tube algebras, excitations statistics and compactification in gauge models of topological phases

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:19.408625Z

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Observation 3ad79c93-51c2-4a96-b5eb-aba0fe014c60 · outbound

This paper cites Asymptotic density of states in 2d CFTs with non-invertible symmetries.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Asymptotic density of states in 2d CFTs with non-invertible symmetries

Reference 32

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Observation 77df04f7-badb-4601-89b4-11afc810a7c3 · outbound

This paper cites Full Dyon Excitation Spectrum in Generalized Levin-Wen Models.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Full Dyon Excitation Spectrum in Generalized Levin-Wen Models

Reference 33

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Observation a645152a-de95-486d-8660-c252c460b33e · outbound

This paper cites Levin-Wen is a gauge theory: entanglement from topology.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Levin-Wen is a gauge theory: entanglement from topology

Reference 34

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Observation 9977873c-766c-4d11-aa58-9e9c64d25abc · outbound

This paper cites Quantum cluster state model with haagerup fusion category symmetry,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Quantum cluster state model with haagerup fusion category symmetry,

Reference 35

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Observation 826a9412-73a4-44ba-b1f2-4d393ed5ba04 · outbound

This paper cites Quantum Cluster State Spin Chain with Ising Fusion Category Symmetry: A Perspective from Weak Hopf SymTFT.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Quantum Cluster State Spin Chain with Ising Fusion Category Symmetry: A Perspective from Weak Hopf SymTFT

Reference 36

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Observation 8ba746dc-c875-4bbd-b2ce-7b7307097b43 · outbound

This paper cites The Quantum Double Model with Boundary: Condensations and Symmetries.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order The Quantum Double Model with Boundary: Condensations and Symmetries

Reference 37

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Observation 1c63ad39-0596-4870-a328-9eb401964c28 · outbound

This paper cites Protected edge modes without symmetry.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Protected edge modes without symmetry

Reference 38

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Observation 8e86590b-e48d-4062-a662-5af7254f2d62 · outbound

This paper cites Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter

Reference 39

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Observation ab5ecd6c-e073-4635-99e8-97353d7a4ef2 · outbound

This paper cites Electric-magnetic duality in the quantum double models of topological orders with gapped boundaries.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Electric-magnetic duality in the quantum double models of topological orders with gapped boundaries

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:19.211662Z

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Observation f7d5c429-1058-46e5-89b4-e14a98dcded9 · outbound

This paper cites Topological boundary conditions in abelian Chern-Simons theory.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Topological boundary conditions in abelian Chern-Simons theory

Reference 41

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Observation 6132bcc3-a808-497d-ac78-c56c1ecfa4ca · outbound

This paper cites Theory of defects in Abelian topological states.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Theory of defects in Abelian topological states

Reference 42

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Observation a2e210ea-57ad-42c1-bad0-3ae517604455 · outbound

This paper cites Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy

Reference 43

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Observation 47bc5240-7e2c-49fd-98b9-cae260bac39e · outbound

This paper cites Boundary Hamiltonian theory for gapped topological phases on an open surface.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Boundary Hamiltonian theory for gapped topological phases on an open surface

Reference 44

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Observation 6daf67fa-f7ce-4da1-8570-4a8d06ddfc84 · outbound

This paper cites Gapped domain walls between 2+1D topologically ordered states.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Gapped domain walls between 2+1D topologically ordered states

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:19.131154Z

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Observation 09eacbfe-09db-46dc-8853-81948d7b3351 · outbound

This paper cites Boundary and domain wall theories of 2d generalized quantum double model.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Boundary and domain wall theories of 2d generalized quantum double model

Reference 46

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Observation d3f204b4-b916-4dcb-9799-df6db2bbaefc · outbound

This paper cites On weak Hopf symmetry and weak Hopf quantum double model.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order On weak Hopf symmetry and weak Hopf quantum double model

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:19.091462Z

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Observation 8bb92f13-4bc9-4e10-8090-9fe3fbeb186c · outbound

This paper cites Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation

Reference 48

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Observation 3e69a61d-211f-49ae-a80b-265370f69dc5 · outbound

This paper cites Weak Hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)D symmetry topological field theory,.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Weak Hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)D symmetry topological field theory,

Reference 49

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Observation c677d73e-fcf5-43d0-aa1c-a6ac17a1fcc9 · outbound

This paper cites Invertible bimodule categories and generalized Schur orthogonality.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Invertible bimodule categories and generalized Schur orthogonality

Reference 50

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Observation d683df66-ceae-4eff-a44b-0daf1dcf934b · outbound

This paper cites Alterfold Theory and Topological Modular Invariance.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Alterfold Theory and Topological Modular Invariance

Reference 51

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Observation 70eee1e1-15a8-4a65-b7dc-c32a97146420 · outbound

This paper cites String-net condensation: A physical mechanism for topological phases.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order String-net condensation: A physical mechanism for topological phases

Reference 52

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Observation ba36d577-50db-4cb7-bffc-ef6ce1b3dac8 · outbound

This paper cites Some universal properties of Levin-Wen models.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Some universal properties of Levin-Wen models

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T06:08:09.438674Z

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Observation 3f13ca23-190f-4929-af41-b4bd681d3a0c · outbound

This paper cites String-net model of Turaev-Viro invariants.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order String-net model of Turaev-Viro invariants

Reference 54

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Observation a2abde76-a81c-409d-9764-a5a1ef6192d5 · outbound

This paper cites Generalized string-net models: A thorough exposition.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Generalized string-net models: A thorough exposition

Reference 55

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Observation 309ec210-194d-42c1-b835-c104d5b3c4b1 · outbound

This paper cites Etingof, S.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Etingof, S

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T06:08:19.870772Z

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Observation 536b9844-31f5-4437-83a6-c1c8944c7a5a · outbound

This paper cites Semisimple and separable algebras in multi-fusion categories.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Semisimple and separable algebras in multi-fusion categories

Reference 57

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Observation 209ad110-e40b-4353-9c46-8cc06428a680 · outbound

This paper cites Montgomery,Hopf algebras and their actions on rings, 82 (American Mathematical Soc., 1993).

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Montgomery,Hopf algebras and their actions on rings, 82 (American Mathematical Soc., 1993)

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T06:08:19.857637Z

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Observation a0ab6d72-af46-4f48-950e-bf2a6f8a4095 · outbound

This paper cites From Subfactors to Categories and Topology I. Frobenius algebras in and Morita equivalence of tensor categories.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order From Subfactors to Categories and Topology I. Frobenius algebras in and Morita equivalence of tensor categories

Reference 59

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Observation d6c41116-ef8a-4004-800e-df771efad61c · outbound

This paper cites Electric-magnetic duality and $\mathbb{Z}_2$ symmetry enriched Abelian lattice gauge theory.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Electric-magnetic duality and $\mathbb{Z}_2$ symmetry enriched Abelian lattice gauge theory

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-06T06:08:09.579114Z

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Observation 65495acf-a0dc-48f0-9b8b-0f72978dd10f · outbound

This paper cites Symmetry Fractionalization, Defects, and Gauging of Topological Phases.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-06T06:08:09.476691Z

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Observation 561c2180-23c1-44bd-8cdc-4f51dbb29586 · outbound

This paper cites Fusion categories and homotopy theory.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Fusion categories and homotopy theory

Reference 62

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Observation a104ce1b-0b46-47d4-a3ef-47befd0320e5 · outbound

This paper cites Topological quasiparticles and the holographic bulk-edge relation in 2+1D string-net models.

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order Topological quasiparticles and the holographic bulk-edge relation in 2+1D string-net models

Reference 63

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