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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 ...
The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras
(2007)
We define the $n$-point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain ...