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Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II
(2011)
We continue our program to define and study $n$-point correlation functions for a vertex operator algebra $V$ on a higher genus compact Riemann surface obtained by sewing surfaces of lower genus. Here we consider Riemann ...
A Generalized Vertex Operator Algebra for Heisenberg Intertwiners
(2011)
We consider the extension of the Heisenberg vertex operator algebra by all its irreducible modules. We give an elementary construction for the intertwining vertex operators and show that they satisfy a complex parametrized ...
Virasoro Correlation Functions for Vertex Operator Algebras
(2011)
We consider all genus zero and genus one correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially ...
Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I
(2010)
We define the partition and $n$-point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator superalgebra we obtain ...
The Szegö Kernel on a Sewn Riemann Surface
(2010)
We describe the Szegö kernel on a higher genus Riemann surface in terms of Szegö kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a ...