# Riemann Surfaces and Vertex Operator Algebras

Source: [Riemann Surfaces and Vertex Operator Algebras](<https://www.sota2.com/research/paper/68fa4ef01e209131ce95f8e2>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:03:55.428Z

Authors: K.Bugajska

Published: 2010-12-12T17:49:23.000Z

## Abstract

We show that for any fixed point P on a Riemann surface S the distinct realizations of cocycles in H^1(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

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1012.2563>)

[PDF](<https://arxiv.org/pdf/1012.2563.pdf>)