Department of Mathematics Faculty Publicationshttp://hdl.handle.net/1803/88012019-05-20T14:16:41Z2019-05-20T14:16:41ZComputational Tools for Topological CoHochschild HomologyBohmann, Anna MarieGerhardt, TeenaHogenhaven, AmalieShipley, BrookeZiegenhagen, Stephaniehttp://hdl.handle.net/1803/88062018-04-03T06:05:37Z2017-06-06T00:00:00ZComputational Tools for Topological CoHochschild Homology
Bohmann, Anna Marie; Gerhardt, Teena; Hogenhaven, Amalie; Shipley, Brooke; Ziegenhagen, Stephanie
In recent work, Hess and Shipley 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 coB\"okstedt spectral sequence to compute the homology of coTHH for coalgebra spectra. We use a coalgebra structure on this spectral sequence to produce several computations.
2017-06-06T00:00:00Z