Computational tools for topological coHochschild homology

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

  • Anna Marie Bohmann
  • Teena Gerhardt
  • Amalie Høgenhaven
  • Brooke Shipley
  • Stephanie Ziegenhagen

In recent work, Hess and Shipley [18] defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory. In particular, we prove a Hochschild–Kostant–Rosenberg type theorem in the cofree case for differential graded coalgebras. We also develop a coBökstedt spectral sequence to compute the homology of coTHH for coalgebra spectra. We use a coalgebra structure on this spectral sequence to produce several computations.

OriginalsprogEngelsk
TidsskriftTopology and Its Applications
Vol/bind235
Sider (fra-til)185-213
Antal sider29
ISSN0166-8641
DOI
StatusUdgivet - 2018

ID: 218521504