Christoph Winges

activity

20162024

collaborators

15 papers

math.AT2024

Homology manifolds and euclidean bundles

Fabian Hebestreit, Markus Land, Michael Weiss +1

We construct a Poincaré complex whose periodic total surgery obstruction vanishes but whose Spivak normal fibration does not admit a reduction to a stable euclidean bundle. This co…

math.KT2024

Every spectrum is the K-theory of a stable $\infty$ -category

Maxime Ramzi, Vladimir Sosnilo, Christoph Winges

We prove that any spectrum is equivalent to the nonconnective K-theory of a stable $\infty$ -category. We use these results to construct a stable $\infty$ -category $C$ wit…

math.KT2021

On the Farrell-Jones conjecture for localising invariants

Ulrich Bunke, Daniel Kasprowski, Christoph Winges

We show the Farrell-Jones conjecture with coefficients in left-exact $\infty$ -categories for finitely $F$ -amenable groups and, more generally, Dress-Farrell-Hsiang-Jones…

math.KT2019

Controlled objects in left-exact $\infty$ -categories and the Novikov conjecture

Ulrich Bunke, Denis-Charles Cisinski, Daniel Kasprowski +1

We associate to every $G$ -bornological coarse space $X$ and every left-exact $\infty$ -category with $G$ -action a left-exact infinity-category of equivariant $X$ -controlled objects.…

math.KT2018

Split injectivity of A-theoretic assembly maps

Ulrich Bunke, Daniel Kasprowski, Christoph Winges

We construct an equivariant coarse homology theory arising from the algebraic $K$ -theory of spherical group rings and use this theory to derive split injectivity results for associ…

math.AT2018

Homotopy theory with marked additive categories

Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1

We construct combinatorial model category structures on the categories of (marked) categories and (marked) pre-additive categories, and we characterize (marked) additive categories…