Computations of relative topological coHochschild homology
Algebraic Topology
2021-08-19 v1
Abstract
Hess and Shipley defined an invariant of coalgebra spectra called topological coHochschild homology, and Bohmann-Gerhardt-H{\o}genhaven-Shipley-Ziegenhagen developed a coB\"okstedt spectral sequence to compute the homology of coTHH for coalgebras over the sphere spectrum. We construct a relative coB\"okstedt spectral sequence to study coTHH of coalgebra spectra over any commutative ring spectrum . Further, we use algebraic structures in this spectral sequence to complete some calculations of the homotopy groups of relative topological coHochschild homology.
Keywords
Cite
@article{arxiv.2108.07863,
title = {Computations of relative topological coHochschild homology},
author = {Sarah Klanderman},
journal= {arXiv preprint arXiv:2108.07863},
year = {2021}
}
Comments
20 pages