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arXiv · 1706.01908

Computational Tools for Topological CoHochschild Homology

Anna Marie Bohmann·Teena Gerhardt·Amalie Høgenhaven·Brooke Shipley·Stephanie Ziegenhagen
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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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Anna Marie Bohmann, Teena Gerhardt, Amalie Høgenhaven, Brooke Shipley, Stephanie Ziegenhagen. 2017-06-06. Computational Tools for Topological CoHochschild Homology. https://doi.org/10.1016/j.topol.2017.12.008

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