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Partition functions and chiral algebras.
(American Mathematical Society, 2007-05)
We discuss recent work of the authors concerning correlation functions and partition functions for free bosons/fermions and the b-c or ghost system. We compare and contrast the nature of the 1-point functions at genus 1, ...
The bosonic vertex operator algebra on a genus g Riemann surface
(2011-08)
We discuss the partition function for the Heisenberg vertex operator algebra on a genus g Riemann surface formed by sewing handles to a Riemann sphere. In particular, it is shown how the partition can be computed by means ...