91 citations · 309 across the 20 of their papers we have counts for
20 papers
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…
Homotopy invariance of convolution products
Steffen Sagave, Stefan Schwede
The purpose of this paper is to show that various convolution products are fully homotopical, meaning that they preserve weak equivalences in both variables without any cofibrancy…
Homotopical and operator algebraic twisted K-theory
Fabian Hebestreit, Steffen Sagave
Using the framework for multiplicative parametrized homotopy theory introduced in joint work with C. Schlichtkrull, we produce a multiplicative comparison between the homotopical a…
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…
A strictly commutative model for the cochain algebra of a space
Birgit Richter, Steffen Sagave
The commutative differential graded algebra of polynomial forms on a simplicial set is a crucial tool in rational homotopy theory. In this note, we constru…
Comparing cyclotomic structures on different models for topological Hochschild homology
Emanuele Dotto, Cary Malkiewich, Irakli Patchkoria +2
The topological Hochschild homology of an orthogonal ring spectrum can be defined by evaluating the cyclic bar construction on or by applying Bökstedt's original d…