Daniel Kasprowski

activity

20132026

most citedShrinking of toroidal decomposition spaces

34 citations · 263 across the 42 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

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

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 $π$ , we consider the pr…

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 $π$ and a homomorphism $w : π \to C_{2}$ under which closed $4$ -manifolds with fundamental group $π$ and orientation character $w$ are classified u…

The first relative k-invariant

Stably exotic 4-manifolds

4-manifolds with a given boundary

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

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