Hecke operators in equivariant elliptic cohomology and generalized moonshine

Abstract

This paper studies connections between generalized moonshine and elliptic cohomology with a focus on the action of the Hecke correspondence and its implications for the notion of replicability.

arXiv comment38 pages, 1 figure. Groups and symmetries: from the Neolithic Scots to John McKay, 173-209, CRM Proc. Lecture Notes, 47, Amer. Math. Soc., Providence, RI, 2009