2021/08/17 by Sarah Klanderman, Klanderman, Sarah · 1 citation
Mathematics · Medicine · #16E40 #16T15 #55P43 #55T99 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Cancer Treatment and Pharmacology #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2108.07863
openalex publication_date 2021/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 R. Further, we use algebraic structures in this spectral sequence to complete some calculations of the homotopy groups of relative topological coHochschild homology.