Riemann Surfaces and Vertex Operator Algebras

2010/12/12 by Krystyna Bugajska, K. Bugajska, Bugajska, K.
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #RA #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1012.2563

16 pages, 0 figures

arxiv created 2010/12/12 · openalex publication_date 2010/12/12 · arxiv updated 2010/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that for any fixed point P on a Riemann surface S the distinct realizations of cocycles in H¹(S,O) correspond to the natural appearence of the standard Heisenberg vertex operator algebra II(P) and to the commutative Heisenberg vertex operator algebra II*(P) respectively

Related

• The Heisenberg Generalized Vertex Operator Algebra on a Riemann Surface
• Riemann surfaces with boundaries and the theory of vertex operator algebras
• Krichever-Novikov Vertex Algebras on Compact Riemann Surfaces
• Cohomological vertex algebras
• Reduction cohomology of Riemann surfaces