Comonad cohomology of track categories

David Blanc, Simona Paoli

Research output: Contribution to journalArticlepeer-review


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
Issue number4
StatePublished - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019, The Author(s).


  • Comonad cohomology
  • Simplicial category
  • Track category

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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