Computational Tools for Topological CoHochschild Homology
dc.contributor.author | Bohmann, Anna Marie | |
dc.contributor.author | Gerhardt, Teena | |
dc.contributor.author | Hogenhaven, Amalie | |
dc.contributor.author | Shipley, Brooke | |
dc.contributor.author | Ziegenhagen, Stephanie | |
dc.date.accessioned | 2018-04-02T16:10:56Z | |
dc.date.available | 2018-04-02T16:10:56Z | |
dc.date.issued | 2017-06-06 | |
dc.identifier.citation | arXiv:1706.01908v1 | en_US |
dc.identifier.uri | http://hdl.handle.net/1803/8806 | |
dc.description.abstract | 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. | en_US |
dc.subject | Topological CoHochschild Homology | en_US |
dc.subject | K-Theory and Homology | en_US |
dc.subject | Algebraic Topology | en_US |
dc.subject | coalgebras | en_US |
dc.subject.lcsh | Algebraic Topology | en_US |
dc.title | Computational Tools for Topological CoHochschild Homology | en_US |
dc.type | Article | en_US |