Paper Citation Record · LEDGER

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures

As of 18 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2509.22625.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.22625 v4

Coverage vector

measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T14:52:42.818549Z

measured 34 of 34 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

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measured 0 of 1 external citation measurements

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Reference resolution

34 of 34 outbound references displayed

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Outbound references

Observation ad07de03-d131-41e5-9ff7-05651cf2077a · outbound

This paper cites On the structure of triangulated categories with finitely many indecomposables.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures On the structure of triangulated categories with finitely many indecomposables

Reference 1

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Observation e93a8a30-fcea-4d5c-9d63-47d06dbb1b3d · outbound

This paper cites Skew Calabi-Yau triangu- lated categories and Frobenius Ext-algebras.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Skew Calabi-Yau triangu- lated categories and Frobenius Ext-algebras

Reference 2

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Observation 906dcc21-0999-4bf0-8e17-5d2d8cc318ba · outbound

This paper cites Calabi-Yau algebras.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Calabi-Yau algebras

Reference 7

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Observation f4bbd7cb-5098-440c-99e7-036f6cc79355 · outbound

This paper cites Cluster tilting objects in generalized higher cluster cate- gories.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Cluster tilting objects in generalized higher cluster cate- gories

Reference 12

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Observation 0e8d9aee-ee4d-487b-b776-fefbc1f2c696 · outbound

This paper cites Higher Nakayama algebras III: Spherical objects in higher Auslander–Reiten theory and triangulations of the cyclic apeirotope.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Higher Nakayama algebras III: Spherical objects in higher Auslander–Reiten theory and triangulations of the cyclic apeirotope

Reference 16

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Observation e2f85626-8812-4b38-8a9b-af8ffe0bd1bf · outbound

This paper cites Springer, Cham, 2024, pp.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Springer, Cham, 2024, pp

Reference 17

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Observation 837584cf-5fe7-4c9c-93d5-45cbe94108d1 · outbound

This paper cites Preprojective modules over Artin algebras.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Preprojective modules over Artin algebras

Reference 18

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Observation eeae4e1b-ff3e-4724-8e70-7bd06ecf55fb · outbound

This paper cites Dg enhanced orbit categories and applications.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Dg enhanced orbit categories and applications

Reference 35

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Observation d38b3f4b-746c-43ee-aca9-4cdfa20fff6c · outbound

This paper cites Calabi-Yau de- formations and negative cyclic homology.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Calabi-Yau de- formations and negative cyclic homology

Reference 62

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Observation c2abd616-8509-4e26-881d-af20bc9bef3f · outbound

This paper cites Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories

Reference 82

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Observation ff2821fc-4625-4ff2-b0b6-7d0280a879cb · outbound

This paper cites Homotopy algebras are homotopy algebras.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Homotopy algebras are homotopy algebras

Reference 131

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Observation a83d3540-098b-4f24-bfb3-b6a40f9cb1a5 · outbound

This paper cites Quotients of triangulated categories and equivalences of Buchweitz, Orlov, and Amiot–Guo–Keller.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Quotients of triangulated categories and equivalences of Buchweitz, Orlov, and Amiot–Guo–Keller

Reference 168

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Observation 98b4f8f4-3516-43ef-bc6f-219f11a0e5f3 · outbound

This paper cites TheA ∞ deformation theory of a point and the derived categories of local Calabi-Yaus.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures TheA ∞ deformation theory of a point and the derived categories of local Calabi-Yaus

Reference 172

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Observation e79c36b0-8511-4368-a742-2877d5714871 · outbound

This paper cites Cluster algebras, quiver representations and triangulated categories.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Cluster algebras, quiver representations and triangulated categories

Reference 190

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Observation ddc65359-45d0-41fc-a7a5-7cba335ed4d8 · outbound

This paper cites The diagonal of the Stasheff polytope.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures The diagonal of the Stasheff polytope

Reference 265

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Observation 95af481d-f5ad-4850-bde8-34c29e5b0d08 · outbound

This paper cites Rabinowitz Fukaya categories as cluster categories.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Rabinowitz Fukaya categories as cluster categories

Reference 287

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Observation 7e2d1698-7a4c-420b-8ea5-fd33d0b5fcbf · outbound

This paper cites Representable functors, Serre functors, and reconstructions.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Representable functors, Serre functors, and reconstructions

Reference 304

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Observation 761d9406-6dd9-4912-b817-342ab3fe8b5b · outbound

This paper cites Calabi-Yau structures on Drinfeld quotients and Amiot's conjecture.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Calabi-Yau structures on Drinfeld quotients and Amiot's conjecture

Reference 375

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Observation 37918cfe-1b28-4be3-a03e-63f34b7159aa · outbound

This paper cites Cluster categories for algebras of global dimension 2 and quivers with potential.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Cluster categories for algebras of global dimension 2 and quivers with potential

Reference 474

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Observation 1f6d940b-d190-4ddc-b885-8303d121e985 · outbound

This paper cites Relative Calabi-Yau structures.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Relative Calabi-Yau structures

Reference 614

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Observation c1ab7b88-e1b8-441b-9aca-4e975c6eea4f · outbound

This paper cites On the exceptional fibres of Kleinian singulari- ties.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures On the exceptional fibres of Kleinian singulari- ties

Reference 618

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Observation 29ca5de8-d0a1-4437-9c39-e5539616c2b7 · outbound

This paper cites Stability structures, motivic Donaldson-Thomas invariants and cluster transformations.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Reference 757

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Observation 72b73627-687b-4864-a606-c35f1f418aa2 · outbound

This paper cites Realizability of modules over Tate cohomology.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Realizability of modules over Tate cohomology

Reference 1337

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Observation 16a3fdc7-79cc-49d3-b295-403018af43f9 · outbound

This paper cites n-representation infinite algebras.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures n-representation infinite algebras

Reference 1920

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Observation c2a4caf4-8c0f-4849-b6c7-43c02011511b · outbound

This paper cites Cluster-tilted algebras are Gorenstein and stably Calabi-Yau.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Cluster-tilted algebras are Gorenstein and stably Calabi-Yau

Reference 1998

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Observation c7466f12-3f52-4c31-9cae-9c564a5366e6 · outbound

This paper cites Homotopy unitalA ∞-algebras.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Homotopy unitalA ∞-algebras

Reference 2008

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Observation b3357bee-0fd6-4f50-9729-e6103b6670e6 · outbound

This paper cites Periodic trivial extension algebras and fractionally Calabi-Yau algebras.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Periodic trivial extension algebras and fractionally Calabi-Yau algebras

Reference 2020

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Observation 6ac8ccb3-c3a9-4bed-9fa5-515259c4d67c · outbound

This paper cites An introduction to relative Calabi-Yau structures.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures An introduction to relative Calabi-Yau structures

Reference 2021

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Observation 1fed08f5-8b85-49ff-882b-d0be2f8bda90 · outbound

This paper cites The Derived Auslander-Iyama Correspondence.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures The Derived Auslander-Iyama Correspondence

Reference 2022

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Observation 8713f405-0a2d-43b8-b1a1-81901317f162 · outbound

This paper cites On Amiot's conjecture.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures On Amiot's conjecture

Reference 2023

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Observation 6411e56f-6633-475a-ac5c-f329b5636c8a · outbound

This paper cites Obstruction theory for $A$-infinity bimodules.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Obstruction theory for $A$-infinity bimodules

Reference 2025

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Observation 7d292d8e-1009-4fbe-bc56-3c4240a0e306 · outbound

This paper cites Homological mirror symmetry for the quartic surface.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures Homological mirror symmetry for the quartic surface

Reference 3268

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Observation d085c949-ba15-4f2b-b381-77da8b8f6c2a · outbound

This paper cites EnhancedA ∞-obstruction theory.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures EnhancedA ∞-obstruction theory

Reference 3281

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Observation 9213298a-cfca-438b-ba34-7d587b339630 · outbound

This paper cites On the derived category of an algebra over an operad.

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures On the derived category of an algebra over an operad

Reference 3668

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