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Equivariant Elliptic Cohomology and Mapping Stacks

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arxiv 2303.10146 v3 pith:BSJ6B4FT submitted 2023-03-17 math.AG math.AT

Nicolò Sibilla , Paolo Tomasini This is my paper · ORCID
classification math.AGmath.AT
keywords cohomologyellipticequivariantintroducesomestacksanalytificationcalled
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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.

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Cited by 1 Pith paper

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

    math.AT 2025-08 conditional novelty 7.0 of 10

    Derived level structures in spectral algebraic geometry are representable, yielding Jacquet-Langlands spectra and a proposed Jacquet-Langlands dual of Morava E-theory.

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