Riemann Surfaces and Vertex Operator Algebras

Mathematics – Rings and Algebras

Scientific paper

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16 pages, 0 figures

Scientific paper

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

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