Two-dimensional conformal geometry and vertex operator algebras

From MaRDI portal
Publication:1361596

zbMath0884.17021MaRDI QIDQ1361596

Yi-Zhi Huang

Publication date: 28 July 1997

Published in: Progress in Mathematics (Search for Journal in Brave)




Related Items (69)

Twisted modules over vertex algebras on algebraic curvesReal Gromov-Witten theory in all genera and real enumerative geometry: constructionOn the geometric interpretation of certain vertex algebras and their modulesRepresentation theory of vertex operator algebras and orbifold conformal field theorySuperconformal change of variables for \(N=1\) Neveu--Schwarz vertex operator superalgebrasFull field algebras, operads and tensor categoriesOpen Gromov-Witten disk invariants in the presence of an anti-symplectic involutionOn the discrete groups of MoonshineMARKOV QUANTUM FIELDS ON A MANIFOLDCharacterization of codimension one foliations on complex curves by connectionsTFT construction of RCFT correlators. IV: Structure constants and correlation functionsOn genus two Riemann surfaces formed from sewn toriAn equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebrasTwisted Correlation Functions on Self-sewn Riemann Surfaces via Generalized Vertex Algebra of IntertwinersA mathematical theory of gapless edges of 2d topological orders. IReduction cohomology of Riemann surfacesCosimplicial meromorphic functions cohomology on complex manifoldsProduct-type classes for vertex algebra cohomology of foliations on complex curvesConvergence of sewing conformal blocksGeometric positivity of the fusion products of unitary vertex operator algebra modulesTensor Categories for Vertex Operator Superalgebra ExtensionsSewing and propagation of conformal blocksOn the tensor structure of modules for compact orbifold vertex operator algebrasGapless edges of 2d topological orders and enriched monoidal categoriesLattices, vertex algebras, and modular categoriesFormal differential operators, vertex operator algebras and zeta-values. I, II.Comparison Moduli Spaces of Riemann SurfacesHomotopy Batalin-Vilkovisky algebrasTransition amplitudes and sewing properties for bosons on the Riemann sphereA functional-analytic theory of vertex (operator) algebras. II.A cohomology theory of grading-restricted vertex algebrasSchiffer operators and calculation of a determinant line in conformal field theorySUSY vertex algebras and supercurvesNGK and HLZ: Fusion for Physicists and MathematiciansOpen-closed field algebrasSupersymmetric vertex algebrasIntertwining operator algebras and vertex tensor categories for affine Lie algebrasQuasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theoryHypotrochoids in conformal restriction systems and Virasoro descendantsRandom loops and conformal field theoryMeromorphic open-string vertex algebrasVertex coalgebras, comodules, cocommutativity and coassociativityCardy condition for open-closed field algebrasIntertwining operator superalgebras and vertex tensor categories for superconformal algebras, IICardy algebras and sewing constraints. IConformal field theory and elliptic cohomologyRamanujan's ``lost notebook and the Virasoro algebraA power matrix approach to the Witt algebra and Loewner equationsAutomorphism groups of \(N=2\) superconformal super-Riemann spheresSLE and Virasoro representations: localizationRecursive construction of operator product expansion coefficientsOperads and PROPsExponential formulas for the Jacobians and Jacobian matrices of analytic maps.Toward a conformal field theory for Schramm-Loewner evolutionsCofiniteness conditions, projective covers and the logarithmic tensor product theoryChiral homology of elliptic curves and the Zhu algebraOn axiomatic approaches to intertwining operator algebrasOn spin and modularity in conformal field theoryThe simplest cohomological invariants for vertex algebrasModularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebrasFactorization of formal exponentials and uniformizationA symplectic functional analytic proof of the conformal welding theoremLogarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized ModulesOpen-string vertex algebras, tensor categories and operadsOn the concepts of intertwining operator and tensor product module in vertex operator algebra theoryConstructions of vertex operator coalgebras via vertex operator algebrasDualities and vertex operator algebras of affine typeConvergence in conformal field theoryCardy algebras, sewing constraints and string-nets




This page was built for publication: Two-dimensional conformal geometry and vertex operator algebras