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Equivariant Elliptic Cohomology and Mapping Stacks
[Submitted on 17 Mar 2023 (v1), last revised 1 Jun 2026 (this ve · 2026-06-02 · via math updates on arXiv.org

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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.

Submission history

From: Paolo Tomasini [view email]
[v1] Fri, 17 Mar 2023 17:31:33 UTC (47 KB)
[v2] Fri, 15 Sep 2023 12:30:56 UTC (54 KB)
[v3] Mon, 1 Jun 2026 13:15:00 UTC (63 KB)