Hecke operators in equivariant elliptic cohomology and generalized moonshine

TL;DR

This paper explores the relationship between generalized moonshine and elliptic cohomology, emphasizing the role of Hecke operators and their impact on the concept of replicability in mathematical structures.

Contribution

It introduces a novel perspective on how Hecke operators influence the structure of equivariant elliptic cohomology in the context of moonshine phenomena.

Findings

Hecke operators act on equivariant elliptic cohomology in a way that relates to moonshine.

The paper provides new insights into the notion of replicability in moonshine theories.

Connections between Hecke correspondences and moonshine are clarified.

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.