Computations of relative topological coHochschild homology
arXiv:2108.07863
Abstract
Hess and Shipley defined an invariant of coalgebra spectra called topological coHochschild homology, and Bohmann-Gerhardt-Høgenhaven-Shipley-Ziegenhagen developed a coBökstedt spectral sequence to compute the homology of coTHH for coalgebras over the sphere spectrum. We construct a relative coBökstedt 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.
20 pages