Department of Mathematics Faculty Publications
http://hdl.handle.net/1803/8801
2019-03-20T18:48:41ZComputational Tools for Topological CoHochschild Homology
http://hdl.handle.net/1803/8806
Computational 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