The Heisenberg Generalized Vertex Operator Algebra on a Riemann Surface

We compute the partition and correlation generating functions for the Heisenberg intertwiner generalized vertex operator algebra on a genus $g$ Riemann surface in the Schottky uniformization. These are expressed in terms of differential forms of the first, second and third kind, the prime form and the period matrix and are computed by combinatorial methods using a generalization of the MacMahon Master Theorem.
Comment: 21 pages. To appear in Proceedings of the Dubrovnik conference Representation Theory XVI, published in the AMS Contemporary Mathematics book series