Research ArticlesNo Access

RIEMANN SURFACES AND VERTEX OPERATOR ALGEBRAS

K. M. BUGAJSKA

Department of Mathematics and Statistics, York University, Toronto, ON M3J 1P3, Canada

https://doi.org/10.1142/S0219887812500636Cited by:0 (Source: Crossref)

Abstract

We show that for any fixed point P₀ on a Riemann surface Σ the distinct realizations of cocycles in correspond to the natural appearances of the standard Heisenberg vertex operator algebra Π(P₀) and to the commutative Heisenberg vertex operator algebra Π⁰(P₀), respectively.

Keywords:

AMSC: Primary 17B69, Secondary 14H55

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