Paper Citation Record · LEDGER

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension

As of 21 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2411.19268.

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2411.19268 v1

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Outbound references

Observation f0d6787a-614a-4cd0-b6d3-64f0d7aa5b0d · outbound

This paper cites Topological insulators and superconductors.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Topological insulators and superconductors

Reference 1

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Observation 302e06b8-3b5c-4849-bf29-9b3b7c205bf8 · outbound

This paper cites Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order

Reference 2

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Observation 31cd08f2-9c01-4be6-b73e-27c409113991 · outbound

This paper cites Periodic table for topological insulators and superconductors.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Periodic table for topological insulators and superconductors

Reference 3

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Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Unresolved cited work

Reference 4

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This paper cites Freed and Gregory W.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Freed and Gregory W

Reference 5

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Observation 13486f43-9c28-4a02-8030-884f12ee916b · outbound

This paper cites Topology of crystalline insulators and superconductors.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Topology of crystalline insulators and superconductors

Reference 6

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Observation 479fd584-2782-4b89-9d1c-b7a185336dcb · outbound

This paper cites On the K-Theoretic Classification of Topological Phases of Matter.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension On the K-Theoretic Classification of Topological Phases of Matter

Reference 7

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Observation 9e1e8647-ff1f-47a3-b6b7-e746bbaf024c · outbound

This paper cites Symmetry protected topo- logical orders and the group cohomology of their symmetry group.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Symmetry protected topo- logical orders and the group cohomology of their symmetry group

Reference 8

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Observation ff09065d-bd84-46e1-ae9c-8ac6972f2a58 · outbound

This paper cites Symmetry-protected topological orders for interact- ing fermions: Fermionic topological nonlinear σ models and a special group supercohomology theory.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Symmetry-protected topological orders for interact- ing fermions: Fermionic topological nonlinear σ models and a special group supercohomology theory

Reference 9

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Observation 55440a63-9385-46dd-a8f3-740ef045b3be · outbound

This paper cites Topological phases protected by point group symmetry.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Topological phases protected by point group symmetry

Reference 10

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Observation a6e01642-85cc-4e8b-8b0c-2060a166ca78 · outbound

This paper cites Building crystalline topo- logical phases from lower-dimensional states.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Building crystalline topo- logical phases from lower-dimensional states

Reference 11

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Observation 0ad2ba0f-80b2-4d8b-8dd5-224ff13a5ed6 · outbound

This paper cites Real-space recipes for general topological crystalline states.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Real-space recipes for general topological crystalline states

Reference 12

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Observation a3b1a07e-eb09-4450-9743-4d04e00d74b8 · outbound

This paper cites Rotation symmetry-protected topological phases of fermions.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Rotation symmetry-protected topological phases of fermions

Reference 13

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This paper cites Real-space construction of crys- talline topological superconductors and insulators in 2d interacting fermionic systems.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Real-space construction of crys- talline topological superconductors and insulators in 2d interacting fermionic systems

Reference 14

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This paper cites Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems

Reference 15

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Observation 74bac676-6955-487b-a557-314b14144c55 · outbound

This paper cites Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena

Reference 16

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Observation d7815ad4-129d-4eab-9c0f-1d4a4c2c3d0f · outbound

This paper cites Reflection positivity and invertible topological phases.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Reflection positivity and invertible topological phases

Reference 17

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Observation ca4b25ac-e593-4340-88aa-b95bbc6001f0 · outbound

This paper cites Symmetry protected topological phases, anomalies, and cobordisms: Beyond group cohomology, 2014.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Symmetry protected topological phases, anomalies, and cobordisms: Beyond group cohomology, 2014

Reference 18

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Observation c20a7ffc-f865-44b3-b963-58f934dc7a85 · outbound

This paper cites Fermionic symmetry pro- tected topological phases and cobordisms.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Fermionic symmetry pro- tected topological phases and cobordisms

Reference 19

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Observation fa0291ae-1524-4a12-bfe0-91d72cf17288 · outbound

This paper cites On the Cobordism Classification of Symmetry Protected Topological Phases.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension On the Cobordism Classification of Symmetry Protected Topological Phases

Reference 20

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Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Unresolved cited work

Reference 21

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Observation 472d0f1d-8f0e-492a-8ab2-b119b1fc6b04 · outbound

This paper cites Cpt theorem and classification of topological insulators and superconductors.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Cpt theorem and classification of topological insulators and superconductors

Reference 22

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Observation 580001cd-db0f-4c26-a0dc-a71f73619ef2 · outbound

This paper cites Many-body topological invariants in fermionic symmetry-protected topological phases: Cases of point group symmetries.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Many-body topological invariants in fermionic symmetry-protected topological phases: Cases of point group symmetries

Reference 23

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Observation 8470f8be-67fb-458c-a420-465e295f9bdc · outbound

This paper cites Many-body topologi- cal invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Many-body topologi- cal invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries

Reference 24

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Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Unresolved cited work

Reference 25

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Observation 25a6e694-468a-48f0-b992-1e7275c74e5c · outbound

This paper cites Many-body topological invariants for fermionic symmetry-protected topological phases.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Many-body topological invariants for fermionic symmetry-protected topological phases

Reference 26

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Observation f58c1d74-5f62-44f8-9c7d-b462f93f0791 · outbound

This paper cites One-dimensional symmetry pro- tected topological phases and their transitions.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension One-dimensional symmetry pro- tected topological phases and their transitions

Reference 27

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Observation b797f34e-bd82-466f-86ed-8537ae2b90af · outbound

This paper cites Effects of interactions on the topological classification of free fermion systems.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Effects of interactions on the topological classification of free fermion systems

Reference 28

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This paper cites Interacting one-dimensional fermionic symmetry-protected topological phases.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Interacting one-dimensional fermionic symmetry-protected topological phases

Reference 29

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Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Unresolved cited work

Reference 30

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Observation 828d7b7f-9c9e-49fa-87ab-57f496e3afa8 · outbound

This paper cites Topological origin of zero-energy edge states in particle-hole symmetric systems.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Topological origin of zero-energy edge states in particle-hole symmetric systems

Reference 31

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Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Unresolved cited work

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This paper cites Hatsugai.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Hatsugai

Reference 33

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This paper cites Delplace, D.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Delplace, D

Reference 34

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This paper cites Bulk-edge correspondence for two-dimensional topo- logical insulators.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Bulk-edge correspondence for two-dimensional topo- logical insulators

Reference 36

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This paper cites Asb´ oth, L´ aszl´ o Oroszl´ any, and Andr´ as P´ alyi.A Short Course on Topological Insulators.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Asb´ oth, L´ aszl´ o Oroszl´ any, and Andr´ as P´ alyi.A Short Course on Topological Insulators

Reference 37

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This paper cites Boundary green functions of topological insulators and superconductors.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Boundary green functions of topological insulators and superconductors

Reference 38

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Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Winding number and zak phase in multi-band ssh models

Reference 39

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This paper cites Bulk and Boundary Invariants for Complex Topo- logical Insulators.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Bulk and Boundary Invariants for Complex Topo- logical Insulators

Reference 40

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Observation 254adc1f-b167-4080-838f-4f8bb3b662b0 · outbound

This paper cites Essin and Victor Gurarie.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Essin and Victor Gurarie

Reference 41

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Observation 9d9b4d59-06b8-444c-9cd2-b5b50d11dd42 · outbound

This paper cites A linear algebra-based approach to understanding the relation between the winding number and zero-energy edge states.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension A linear algebra-based approach to understanding the relation between the winding number and zero-energy edge states

Reference 42

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Observation e60affd6-ff1e-438b-8a10-a9db932f40de · outbound

This paper cites Turner, Yi Zhang, and Ashvin Vishwanath.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Turner, Yi Zhang, and Ashvin Vishwanath

Reference 43

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This paper cites Hughes, Emil Prodan, and B.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Hughes, Emil Prodan, and B

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:26:36.107381Z

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Observation e66ec5c1-04b4-4f02-8ae1-754c72e1ff0b · outbound

This paper cites Topological phases protected by point group symmetry.

Crystalline-equivalent topological phases of many-body fermionic systems in one dimension Topological phases protected by point group symmetry

Reference 45

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Reference 46

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