Topological coHochschild homology and the homology of free loop spaces

AM Bohmann, T Gerhardt, B Shipley - Mathematische Zeitschrift, 2022 - Springer
We study the homology of free loop spaces via techniques arising from the theory of
topological coHochschild homology (coTHH). Topological coHochschild homology is a …

Spanier-Whitehead duality for topological coHochschild homology

HÖ Bayındır, M Péroux - arXiv preprint arXiv:2012.03966, 2020 - arxiv.org
In this work, we compute the topological coHochschild homology (coTHH) of interesting
coalgebras such as the Steenrod algebra spectrum. For this, we start by extending the Hess …

Trace methods for coHochschild homology

S Klanderman, M Peroux - arXiv preprint arXiv:2301.11346, 2023 - arxiv.org
We provide traces for coHochschild homology, dualizing the Hattori-Stallings trace.
Considering the trace of the identity, we define traces between coHochschild homology and …

Spanier–Whitehead duality for topological coHochschild homology

HÖ Bayindir, M Péroux - Journal of the London Mathematical …, 2023 - Wiley Online Library
In this work, we compute the topological coHochschild homology (coTHH) of interesting
coalgebras such as the Steenrod algebra spectrum. For this, we start by extending the Hess …