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Reduction cohomology of Riemann surfaces (Q6078037)

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scientific article; zbMATH DE number 7742586

Language	Label	Description	Also known as
English	Reduction cohomology of Riemann surfaces	scientific article; zbMATH DE number 7742586

Statements

scholarly article

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Reduction cohomology of Riemann surfaces (English)

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Alexander Zuevsky

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Reviews in Mathematical Physics

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publication date

27 September 2023

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full work available at URL

https://arxiv.org/abs/2106.06541

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zbMATH Keywords

cohomology

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vertex algebras

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Riemann surfaces

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cluster algebras

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MaRDI profile type

MaRDI publication profile

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Some remarks on Teichmüller's space of Riemann surfaces

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Infinite conformal symmetry in two-dimensional quantum field theory

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Inequalities for finitely generated Kleinian groups

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Automorphic forms for Schottky groups

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Introduction to Compact Riemann Surfaces

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Vertex algebras, Kac-Moody algebras, and the Monster

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The cohomology of the vector fields on a manifold

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Zhu reduction for Jacobi $n$-point functions and applications

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Tits Buildings and <i>K</i>-Stability

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\(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property

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Conformal field theory

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Conformal field theories, representations and lattice constructions

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Generalized vertex algebras and relative vertex operators

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Theta functions on Riemann surfaces

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On axiomatic approaches to vertex operator algebras and modules

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Moduli spaces of local systems and higher Teichmüller theory

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Cluster ensembles, quantization and the dilogarithm

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Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner

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Cluster algebras and triangulated surfaces. I: Cluster complexes

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Cluster algebras I: Foundations

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Cluster algebras. II: Finite type classification

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Cluster algebras IV: Coefficients

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Cluster structures on quantum coordinate rings

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Cluster algebras and Weil-Petersson forms

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Cluster algebras and quantum affine algebras

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Two-dimensional conformal geometry and vertex operator algebras

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A cohomology theory of grading-restricted vertex algebras

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First and second cohomologies of grading-restricted vertex algebras

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On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces

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Cluster algebras, quiver representations and triangulated categories

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Quantum loop algebras, quiver varieties, and cluster algebras

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Current algebras and Wess-Zumino model in two dimensions

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Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry

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Introduction to vertex operator algebras and their representations

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Symmetric invariant bilinear forms on vertex operator algebras

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Vertex Operators and Modular Forms

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Torus chiral \(n\)-point functions for free boson and lattice vertex operator algebras

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On genus two Riemann surfaces formed from sewn tori

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Free bosonic vertex operator algebras on genus two Riemann surfaces. I

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Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II

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Torus \(n\)-point functions for \(\mathbb R\)-graded vertex operator superalgebras and continuous fermion orbifolds

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Axioms for a vertex algebra and the locality of quantum fields

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Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker's first limit formula

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Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness

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Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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Quiver varieties and cluster algebras

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Dilogarithm identities for conformal field theories and cluster algebras: Simply laced case

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Periodicities in cluster algebras and dilogarithm identities

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Cochain algebras of mapping spaces and finite group actions

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Monodromy of solutions of the Knizhnik-Zamolodchikov equation: SL\((2,\mathbb{C})\)/SU(2) WZNW model

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Integro-differential nonlinear equations and continual Lie algebras

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Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems)

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On cluster algebras arising from unpunctured surfaces. II

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The Heisenberg generalized vertex operator algebra on a Riemann surface

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The Szegő kernel on a sewn Riemann surface

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Genus two partition and correlation functions for fermionic vertex operator superalgebras. I.

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Differential graded cohomology and Lie algebras of holomorphic vector fields

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Precise variational formulas for Abelian differentials

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Modular invariance of characters of vertex operator algebras

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Cluster algebras based on vertex operator algebras

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Clusterization of Correlation Functions

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The simplest cohomological invariants for vertex algebras

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Associative algebra twisted bundles over compact topological spaces

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Geometric kernel formula relating prime forms

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Cosimplicial meromorphic functions cohomology on complex manifolds

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Identifiers

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10.1142/s0129055x23300054

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6078037

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