K-theory associated to vertex operator algebras

2004/03/31 by Chongying Dong, Kefeng Liu, Dong, Chongying +5 · 1 citation
Mathematics · Physics and Astronomy · #19L99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.DG #math.QA #msc:19L99

paper · pdf · doi:10.48550/arxiv.math/0403547

Corrected some typos

openalex publication_date 2004/03/31 · arxiv created 2004/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce two K-theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algebras. We verify the cohomological properties of these K-theories, and construct a natural homomorphism from the VOA K-theory to the associative algebra K-theory.

Citations

• The index of the dirac operator in loop space
• Local systems of vertex operators, vertex superalgebras and modules

Cited by

• String Partition Functions, Hilbert Schemes, and Affine Lie Algebra Representations on Homology Groups

Related

• Vertex Algebras and Commutative Algebras
• Tensor product of Vertex operator algebras
• The Cohomology of Algebras over Moduli Spaces
• From algebraic K-theory to hermitian K-theory
• Introduction to vertex operator algebras II