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arXiv · 1809.06695

Equivariant Higher Hochschild Homology and Topological Field Theories

Lukas Müller·Lukas Woike
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Abstract

We present a version of higher Hochschild homology for spaces equipped with principal bundles for a structure group $G$. As coefficients, we allow $E_\infty$-algebras with $G$-action. For this homology theory, we establish an equivariant version of excision and prove that it extends to an equivariant topological field theory with values in the $(\infty,1)$-category of cospans of $E_\infty$-algebras.

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Lukas Müller, Lukas Woike. 2018-09-18. Equivariant Higher Hochschild Homology and Topological Field Theories. https://arxiv.org/abs/1809.06695

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