Computational Tools for Topological CoHochschild Homology
Algebraic Topology
2023-03-15 v1 K-Theory and Homology
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.
Cite
@article{arxiv.1706.01908,
title = {Computational Tools for Topological CoHochschild Homology},
author = {Anna Marie Bohmann and Teena Gerhardt and Amalie Høgenhaven and Brooke Shipley and Stephanie Ziegenhagen},
journal= {arXiv preprint arXiv:1706.01908},
year = {2023}
}