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)

Access to Document

10.4310/HHA.2020.v22.n1.a3

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

Cite this

@article{4ac37964a6de426fad073ed0d36daa69,

title = "Equivariant higher hochschild homology and topological field theories",

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.",

keywords = "Algebra, Bordism category, Einfin, Hochschild homology, Principal bundle, Topological field theory",

author = "Lukas M{\"u}ller and Lukas Woike",

year = "2020",

doi = "10.4310/HHA.2020.v22.n1.a3",

language = "English",

volume = "22",

pages = "27--54",

journal = "Homology, Homotopy and Applications",

issn = "1532-0073",

publisher = "International Press, Inc.",

number = "1",

}

TY - JOUR

T1 - Equivariant higher hochschild homology and topological field theories

AU - Müller, Lukas

AU - Woike, Lukas

PY - 2020

Y1 - 2020

N2 - 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.

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.

KW - Algebra

KW - Bordism category

KW - Einfin

KW - Hochschild homology

KW - Principal bundle

KW - Topological field theory

UR - https://www.scopus.com/pages/publications/85077988905

U2 - 10.4310/HHA.2020.v22.n1.a3

DO - 10.4310/HHA.2020.v22.n1.a3

M3 - Article

AN - SCOPUS:85077988905

SN - 1532-0073

VL - 22

SP - 27

EP - 54

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

IS - 1

ER -

Equivariant higher hochschild homology and topological field theories

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this