Equivariant Elliptic Cohomology and Mapping Stacks I

2023/03/17 by Sibilla, Nicolò, Tomasini, Paolo · 1 citation
#Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.10146

Abstract

We introduce a new cohomology theory for stacks called elliptic Hochschild homology, prove some fundamental properties and compute it in some classes of examples. We then introduce its periodic cyclic version and show that, over the complex numbers and for a quotient stack, this recovers Grojnowski's equivariant elliptic cohomology of the analytification.

Cited by

• Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory

Related

• Rational S¹-equivariant elliptic cohomology
• Equivariant operations in topological Hochschild homology
• Equivariant homology of stacks
• Equivariant generalized cohomology via stacks
• Equivariant geometry and the cohomology of the moduli space of curves