Daniel Kasprowski

collaborators

5 papers

math.GT2025

4-manifolds with a given boundary

Anthony Conway, Daniel Kasprowski

This paper studies the homotopy and homeomorphism classifications of $4$ -manifolds with boundary. Given $4$ -manifolds $X_{0}$ and $X_{1}$ with fundamental group $I ¨ $ , we consider the p…

math.GT2025

The first relative k-invariant

Anthony Conway, Daniel Kasprowski

Motivated by work on the homotopy classification of $4$ -manifolds with boundary, we define a relative $k$ -invariant for pairs of spaces that are homotopy equivalent to CW pairs. We…

math.GT2025

Stably exotic 4-manifolds

Daniel Kasprowski, Mark Powell

A pair of closed, smooth $4$ -manifolds $M$ and $M^{'}$ are stably exotic if they are stably homeomorphic but not stably diffeomorphic, where stabilisation refers to connected sum with…

math.GT2025

Homotopy classification of $4$ -manifolds with $3$ -manifold fundamental group

Jonathan Hillman, Daniel Kasprowski, Mark Powell +1

We give a criterion on a group $I ¨ $ and a homomorphism $w : I ¨ \to C_{2}$ under which closed $4$ -manifolds with fundamental group $I ¨ $ and orientation character $w$ are classifie…

math.GT2025

Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata

Michael Freedman, Daniel Kasprowski, Matthias Kreck +2

Motivated by applications to pulling back quantum cellular automata from one manifold to another, we study the existence of immersions between certain smooth 4-manifolds. We show t…

4-manifolds with a given boundary

The first relative k-invariant

Stably exotic 4-manifolds

Homotopy classification of 4-manifolds with 3-manifold fundamental group

Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata

Homotopy classification of $4$ -manifolds with $3$ -manifold fundamental group