Comonad cohomology of track categories

David Blanc, Simona Paoli*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We define a comonad cohomology of track categories, and show that it is related via a long exact sequence to the corresponding (S,O)-cohomology. Under mild hypotheses, the comonad cohomology coincides, up to reindexing, with the (S,O)-cohomology, yielding an algebraic description of the latter. We also specialize to the case where the track category is a 2-groupoid.

Original languageEnglish
Pages (from-to)881-917
Number of pages37
JournalJournal of Homotopy and Related Structures
Volume14
Issue number4
Early online date14 May 2019
DOIs
Publication statusPublished - 1 Dec 2019

Keywords

  • Comonad cohomology
  • Simplicial category
  • Track category

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