Equivariant Elliptic Cohomology and Mapping Stacks I
Algebraic Geometry
2023-09-18 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.2303.10146,
title = {Equivariant Elliptic Cohomology and Mapping Stacks I},
author = {Nicolò Sibilla and Paolo Tomasini},
journal= {arXiv preprint arXiv:2303.10146},
year = {2023}
}
Comments
57 pages. Added comparison with Grojnowski's equivariant elliptic cohomology; minor edits to pre-existing text