Equivariant higher hochschild homology and topological field theories

Lukas Müller; Lukas Woike

doi:10.4310/HHA.2020.v22.n1.a3

Equivariant higher hochschild homology and topological field theories

Lukas Müller, Lukas Woike

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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_∞-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 (∞, 1)-category of cospans of E_∞-algebras.

Original language	English
Pages (from-to)	27-54
Number of pages	28
Journal	Homology, Homotopy and Applications
Volume	22
Issue number	1
Early online date	18 Sept 2019
DOIs	https://doi.org/10.4310/HHA.2020.v22.n1.a3
Publication status	Published - 2020

Keywords

Algebra
Bordism category
Einfin
Hochschild homology
Principal bundle
Topological field theory

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.4310/HHA.2020.v22.n1.a3

https://arxiv.org/abs/1809.06695v2

Cite this

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AB - We present a version of higher Hochschild homology for spaces equipped with principal bundles for a structure group G. As coefficients, we allow E∞-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 (∞, 1)-category of cospans of E∞-algebras.

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KW - Bordism category

KW - Einfin

KW - Hochschild homology

KW - Principal bundle

KW - Topological field theory

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Equivariant higher hochschild homology and topological field theories

Abstract

Keywords

ASJC Scopus subject areas

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