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arXiv · 2108.07863

Computations of relative topological coHochschild homology

Sarah Klanderman
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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 $R$. Further, we use algebraic structures in this spectral sequence to complete some calculations of the homotopy groups of relative topological coHochschild homology.

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Sarah Klanderman. 2021-08-17. Computations of relative topological coHochschild homology. https://arxiv.org/abs/2108.07863

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