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    Computational Tools for Topological CoHochschild Homology

    Bohmann, Anna Marie
    Gerhardt, Teena
    Hogenhaven, Amalie
    Shipley, Brooke
    Ziegenhagen, Stephanie
    : http://hdl.handle.net/1803/8806
    : 2017-06-06

    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.
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