Browsing Mathematics by Author "Gilroy, Thomas"
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Genus two virasoro correlation functions for vertex operator algebras
Tuite, Michael P.; Gilroy, Thomas (20161206)We consider all genus two 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 expressed in terms ... 
Genus two zhu theory for vertex operator algebras
Tuite, Michael P.; Gilroy, Thomas (20161027)We consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus ...