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arXiv · 2405.18505

Equivariant elliptic cohomology and the 2-loop groupoid

Matthew Spong
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Abstract

Following an outline of Rezk, we give a construction of complex-analytic $G$-equivariant elliptic cohomology for an arbitrary compact Lie group $G$ and we prove some of its fundamental properties. The construction is parametrised over the orbit category of the groupoid of principal $G$-bundles over 2-dimensional tori and generalises Grojnowski's construction of equivariant elliptic cohomology.

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Matthew Spong. 2024-05-28. Equivariant elliptic cohomology and the 2-loop groupoid. https://arxiv.org/abs/2405.18505

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