activity
20232026
most citedParametrised Poincaré duality and equivariant fixed points methods

2 citations · 2 across the 9 of their papers we have counts for

collaborators

9 papers

math.GT2026

On the Nielsen realisation problem for cyclic groups of prime order

Christian Kremer

We solve the Nielsen realisation problem for high-dimensional aspherical manifolds in a new class of special cases. Mainly, we focus on actions of cyclic groups of prime order. A n…

math.GT2025

Approximate Fibrations in Higher Topos Theory

Christian Kremer, Marco Volpe

The goal of this paper is to put the theory of approximate fibrations into the framework of higher topos theory. We define the notion of an approximate fibration for a general geom…

math.AT2025

Semifree Isovariant Poincaré Spaces and the Gap Condition

Dominik Kirstein, Christian Kremer

We introduce the notion of a semifree isovariant -Poincaré space, a homotopical notion interpolating between semifree closed smooth -manifolds and the equivariant Poincaré sp…

math.GT2025

Borel actions in nonpositively curved geometry and the Nielsen realisation problem

Christian Kremer

In this note, we record the proof of a theorem about the coincidence of genuine and homotopy fixed points for isometric group actions on complete Riemannian manifolds with nonposit…

math.AT2025

Poincaré Duality Pairs of -Categories

Andrea Bianchi, Kaif Hilman, Dominik Kirstein +1

We introduce a notion of Poincaré duality for pairs of -categories, extending Poincaré-Lefschetz duality for pairs of spaces. This categorical extension yields an efficient…

math.KT2024

A twisted Bass-Heller-Swan decomposition for localising invariants

Dominik Kirstein, Christian Kremer

We generalise the classical Bass-Heller-Swan decomposition for the K-theory of (twisted) Laurent algebras to a splitting for general localising invariants of certain categories of…