Equivariant higher hochschild homology and topological field theories

Lukas Müller, Lukas Woike

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)27-54
Number of pages28
JournalHomology, Homotopy and Applications
Volume22
Issue number1
Early online date18 Sep 2019
DOIs
Publication statusPublished - 2020

Keywords

  • Algebra
  • Bordism category
  • Einfin
  • Hochschild homology
  • Principal bundle
  • Topological field theory

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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