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Localization sequences for logarithmic topological cyclic homology
John Rognes, Steffen Sagave, Christian Schlichtkrull
We introduce the notion of an E_k-ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context…
Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces
Fabian Hebestreit, Steffen Sagave, Christian Schlichtkrull
In order to treat multiplicative phenomena in twisted (co)homology, we introduce a new point-set level framework for parametrized homotopy theory. We provide a convolution smash pr…
The cyclotomic trace for symmetric ring spectra
Christian Schlichtkrull
The purpose of this paper is to present a simple and explicit construction of the Bokstedt-Hsiang-Madsen cyclotomic trace relating algebraic K-theory and topological cyclic homolog…