Complex deformations of the circle: Group cohomology and Virasoro uniformization | Paper Citation Record

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This paper cites The real analytic theory of T eichm \"u ler space.

Complex deformations of the circle: Group cohomology and Virasoro uniformization The real analytic theory of T eichm \"u ler space

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Kac, and Claudio Procesi

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Complex deformations of the circle: Group cohomology and Virasoro uniformization The moduli of annuli in random conformal geometry

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Shatashvili, and Leon A

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Complex deformations of the circle: Group cohomology and Virasoro uniformization An SLE_ 2 loop measure

Reference 5

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This paper cites The V irasoro structure and the scattering matrix for L iouville conformal field theory.

Complex deformations of the circle: Group cohomology and Virasoro uniformization The V irasoro structure and the scattering matrix for L iouville conformal field theory

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Semigroup of annuli in Liouville CFT

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This paper cites The CFT of SLE loop measures and the Kontsevich--Suhov conjecture.

Complex deformations of the circle: Group cohomology and Virasoro uniformization The CFT of SLE loop measures and the Kontsevich--Suhov conjecture

Reference 9

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This paper cites On the characteristic classes of groups of diffeomorphisms.

Complex deformations of the circle: Group cohomology and Virasoro uniformization On the characteristic classes of groups of diffeomorphisms

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Beilinson and Vadim V

Reference 11

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This paper cites Cohomology theory of L ie groups and L ie algebras.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Cohomology theory of L ie groups and L ie algebras

Reference 13

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Complex deformations of the circle: Group cohomology and Virasoro uniformization SLE and V irasoro representations: localization

Reference 14

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This paper cites Vertex A lgebras and A lgebraic C urves , volume 88 of Mathematical Surveys and Monographs.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Vertex A lgebras and A lgebraic C urves , volume 88 of Mathematical Surveys and Monographs

Reference 15

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This paper cites A primer on mapping class groups , volume 49 of Princeton Mathematical Series.

Complex deformations of the circle: Group cohomology and Virasoro uniformization A primer on mapping class groups , volume 49 of Princeton Mathematical Series

Reference 16

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Lectures on R iemann surfaces

Reference 17

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This paper cites On Connections of Conformal Field Theory and Stochastic L{\oe}wner Evolution.

Complex deformations of the circle: Group cohomology and Virasoro uniformization On Connections of Conformal Field Theory and Stochastic L{\oe}wner Evolution

Reference 18

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This paper cites Smooth structures.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Smooth structures

Reference 19

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This paper cites The analytic geometry of two-dimensional conformal field theory.

Complex deformations of the circle: Group cohomology and Virasoro uniformization The analytic geometry of two-dimensional conformal field theory

Reference 20

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This paper cites Algebraic topology.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Algebraic topology

Reference 22

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Gel'fand and Dmitrii B

Reference 23

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This paper cites Review on the probabilistic construction and Conformal bootstrap in Liouville Theory.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Review on the probabilistic construction and Conformal bootstrap in Liouville Theory

Reference 24

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Compactified imaginary L iouville theory

Reference 25

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Segal's axioms and bootstrap for Liouville Theory

Reference 26

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Hilbert's fifth problem for local groups

Reference 27

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This paper cites L'alg \`e bre et le groupe de V irasoro: aspects g \'e om \'e triques et alg \'e briques, g \'e n \'e ralisations.

Complex deformations of the circle: Group cohomology and Virasoro uniformization L'alg \`e bre et le groupe de V irasoro: aspects g \'e om \'e triques et alg \'e briques, g \'e n \'e ralisations

Reference 28

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This paper cites Analytic Conformal Blocks of $C_2$-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-$q$-traces.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Analytic Conformal Blocks of $C_2$-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-$q$-traces

Reference 29

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Complex deformations of the circle: Group cohomology and Virasoro uniformization The functorial approach to chiral 2D CFT

Reference 31

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Complex deformations of the circle: Group cohomology and Virasoro uniformization The Segal-Neretin semigroup of annuli

Reference 32

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Integrating positive energy representations of the Virasoro algebra

Reference 33

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This paper cites Two- D imensional C onformal G eometry and V ertex O perator A lgebras , volume 148 of Progress in Mathematics.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Two- D imensional C onformal G eometry and V ertex O perator A lgebras , volume 148 of Progress in Mathematics

Reference 34

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Holomorphic structure on the space of R iemann surfaces with marked boundary

Reference 35

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Introduction to the modern theory of dynamical systems , volume 54 of Encyclopedia of mathematics and its applications

Reference 36

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Complex manifolds and deformation of complex structures

Reference 38

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Complex deformations of the circle: Group cohomology and Virasoro uniformization The V irasoro algebra and T eichm \"u ller spaces

Reference 39

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Complex deformations of the circle: Group cohomology and Virasoro uniformization On M alliavin measures, SLE , and CFT

Reference 40

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Complex deformations of the circle: Group cohomology and Virasoro uniformization The geometry of infinite-dimensional groups

Reference 41

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Complex deformations of the circle: Group cohomology and Virasoro uniformization A L ie algebra for F r \"o licher groups

Reference 42

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Complex deformations of the circle: Group cohomology and Virasoro uniformization The problem of complexifying a L ie group

Reference 44

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Moduli of J -holomorphic curves with L agrangian boundary conditions and open G romov- W itten invariants for an S^1 -equivariant pair

Reference 45

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Complex deformations of the circle: Group cohomology and Virasoro uniformization On the conformal anomaly

Reference 46

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Complex deformations of the circle: Group cohomology and Virasoro uniformization Complex earthquakes and T eichm \"u ller theory

Reference 47

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Reference 48

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This paper cites Simple geodesics and W eil- P etersson volumes of moduli spaces of bordered R iemann surfaces.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Simple geodesics and W eil- P etersson volumes of moduli spaces of bordered R iemann surfaces

Reference 49

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This paper cites Cohomology of topological groups and solvmanifolds.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Cohomology of topological groups and solvmanifolds

Reference 50

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Complex deformations of the circle: Group cohomology and Virasoro uniformization From the conformal anomaly to the V irasoro algebra

Reference 51

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This paper cites The complex analytic theory of T eichm \"u ller spaces.

Complex deformations of the circle: Group cohomology and Virasoro uniformization The complex analytic theory of T eichm \"u ller spaces

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.777904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f7b3dc81-d057-46f5-b1a9-45bdd284a345 · outbound

This paper cites an unresolved cited work.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-05-20T03:13:01.694346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ff4bbd94-4936-467e-9903-3aae6f873837 · outbound

This paper cites Abelian extensions of infinite-dimensional L ie groups.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Abelian extensions of infinite-dimensional L ie groups

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.703400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5ac9425e-b1b3-412b-8d3a-41007c085773 · outbound

This paper cites Infinite-dimensional L ie groups.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Infinite-dimensional L ie groups

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.711362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3454444e-cdc5-45c4-ad0a-d48bc099c958 · outbound

This paper cites Infinite-dimensional L ie groups.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Infinite-dimensional L ie groups

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-05-20T03:13:00.546638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e454d52e-9bf6-47b1-8549-c194d1b545b7 · outbound

This paper cites an unresolved cited work.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-05-20T03:13:01.534936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 46627541-05f1-462f-8fab-44a49cd65a6a · outbound

This paper cites an unresolved cited work.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-05-20T03:13:01.681904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3a3c87fe-dc77-469f-899e-3defdc925e6d · outbound

This paper cites an unresolved cited work.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-05-20T03:13:01.685521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a7662767-f568-4e31-b5f1-7d242c10b393 · outbound

This paper cites an unresolved cited work.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-05-20T03:13:01.592817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e8c248dd-4f7d-4fb2-9c53-62ea2cc430af · outbound

This paper cites Extremals of determinants of L aplacians.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Extremals of determinants of L aplacians

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.596844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1aebbf17-0e94-4e6d-896f-d7431d500cc2 · outbound

This paper cites Loop groups.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Loop groups

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.626018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation efa367f5-a357-4256-a1ca-8f7c26cd4235 · outbound

This paper cites Schiffer variation in T eichm \"u ller space, determinant line bundles, and modular functors.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Schiffer variation in T eichm \"u ller space, determinant line bundles, and modular functors

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.633753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8588f53f-70d2-44bf-9458-ca071df417ca · outbound

This paper cites Quasisymmetric sewing in rigged T eichm \"u ller space.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Quasisymmetric sewing in rigged T eichm \"u ller space

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.714966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c0ee7817-f5b7-498d-a9c1-2201a9f53675 · outbound

This paper cites Fiber structure and local coordinates for the T eichm \"u ller space of a bordered R iemann surface.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Fiber structure and local coordinates for the T eichm \"u ller space of a bordered R iemann surface

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.653446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cb7b6fd8-ad3b-4c01-b61e-d42af988a89f · outbound

This paper cites The semigroup of rigged annuli and the T eichm\"uller space of the annulus.

Complex deformations of the circle: Group cohomology and Virasoro uniformization The semigroup of rigged annuli and the T eichm\"uller space of the annulus

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.774124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a26f19c3-6728-46c4-965a-0b58782e4ac3 · outbound

This paper cites Quasiconformal T eichm \"u ller theory as an analytical foundation for two-dimensional conformal field theory.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Quasiconformal T eichm \"u ller theory as an analytical foundation for two-dimensional conformal field theory

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.761327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d0a8c648-8b19-44a1-b60e-a2a989f48ac3 · outbound

This paper cites A mathematical introduction to conformal field theory , volume 759 of Lecture Notes in Physics.

Complex deformations of the circle: Group cohomology and Virasoro uniformization A mathematical introduction to conformal field theory , volume 759 of Lecture Notes in Physics

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.765054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 403a483f-d908-4685-a1d2-75f44284cf40 · outbound

This paper cites The definition of conformal field theory.

Complex deformations of the circle: Group cohomology and Virasoro uniformization The definition of conformal field theory

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.789063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1d64411e-fc21-42a0-9acc-b28067682a16 · outbound

This paper cites Comparative smootheology.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Comparative smootheology

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.803119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 17326441-744b-483c-80f1-f145ebbd3856 · outbound

This paper cites Takhtajan and Lee-Peng Teo.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Takhtajan and Lee-Peng Teo

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.792574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 325ceb17-6eea-4141-89a2-058384df1b03 · outbound

This paper cites Group cohomology and L ie algebra cohomology in L ie groups.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Group cohomology and L ie algebra cohomology in L ie groups

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.629991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d6acd5be-7db7-4785-a39e-8306d11825b5 · outbound

This paper cites Group cohomology and L ie algebra cohomology in L ie groups.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Group cohomology and L ie algebra cohomology in L ie groups

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.622146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9060875d-dedb-4a27-998b-20a9839f2e19 · outbound

This paper cites Virasoro.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Virasoro

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T03:13:01.614037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0c198e8b-46fe-484e-9f3d-47eff2af2f8a · outbound

This paper cites an unresolved cited work.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-05-20T03:13:01.610294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9009afff-3477-4fe8-bd97-3ad587bb2b63 · outbound

This paper cites an unresolved cited work.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Unresolved cited work

Reference 77

Resolution: unresolved; raw_fallback, observed 2026-05-20T03:13:01.606256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 033d0f5b-5016-4e40-86b7-ed356a052ab1 · outbound

This paper cites an unresolved cited work.

Complex deformations of the circle: Group cohomology and Virasoro uniformization Unresolved cited work

Reference 78

Resolution: unresolved; raw_fallback, observed 2026-05-20T03:13:01.601226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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