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Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I
(2009)
We define the partition and $n$-point functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We obtain closed formulas for the genus two partition function for the ...
Vertex Operators and Modular Forms
(2009)
The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite ...