Daniel Kasprowski

activity

20132026

most citedShrinking of toroidal decomposition spaces

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

collaborators

43 papers

math.GT2026

Stably exotic knotted surfaces up to equivalence

Daniel Galvin, Daniel Kasprowski

In this short note we show the existence of stably exotic knotted surfaces in 4-manifolds in the sense that the embedded surfaces are topologically equivalent but are not smoothly…

math.GT2026

Homeomorphisms of surfaces in $4$ -manifolds

Anthony Conway, Daniel Kasprowski

This paper establishes necessary and sufficient conditions for locally flat knotted surfaces in simply-connected $4$ -manifolds to be equivalent. For surfaces with knot group $\math…

math.GT2026

Stably exotic fillings of 3-manifolds

Daniel Kasprowski, Patrick Orson, Mark Powell +1

We investigate which 3-manifolds bound 4-manifolds that are homeomorphic but not stably diffeomorphic, where stabilising means taking connected sum with copies of $S^{2} \times S^{2}$ .…

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…

math.GT2022

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…

math.GT2022★ 2 cited

Gluck twists on concordant or homotopic spheres

Daniel Kasprowski, Mark Powell, Arunima Ray

Let $M$ be a compact $4$ -manifold and let $S$ and $T$ be embedded $2$ -spheres in $M$ , both with trivial normal bundle. We write $M_{S}$ and $M_{T}$ for the $4$ -manifolds obtained by th…

math.GT2022★ 9 cited

Counterexamples in 4-manifold topology

Daniel Kasprowski, Mark Powell, Arunima Ray

We illustrate the rich landscape of 4-manifold topology through the lens of counterexamples. We consider several of the most commonly studied equivalence relations on 4-manifolds a…

math.GT2022★ 8 cited

Embedding surfaces in 4-manifolds

Daniel Kasprowski, Mark Powell, Arunima Ray +1

We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is…

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.GT2021★ 2 cited

The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds

Daniel Kasprowski, Mark Powell, Peter Teichner

We consider the role of the Kervaire--Milnor invariant in the classification of closed, connected, spin 4-manifolds, typically denoted by $M$ , up to stabilisation by connected sums…

math.GT2020★ 4 cited

Homotopy classification of 4-manifolds whose fundamental group is dihedral

Daniel Kasprowski, John Nicholson, Benjamin Ruppik

We show that the homotopy type of a finite oriented Poincaré 4-complex is determined by its quadratic 2-type provided its fundamental group is finite and has a dihedral Sylow 2-sub…

math.GT2020★ 3 cited

Topological 4-manifolds with 4-dimensional fundamental group

Daniel Kasprowski, Markus Land

Let $π$ be a group satisfying the Farrell-Jones conjecture and assume that $B π$ is a 4-dimensional Poincaré duality space. We consider topological, closed, connected manifolds with…

math.GT2020★ 4 cited

Algebraic criteria for stable diffeomorphism of spin 4-manifolds

Daniel Kasprowski, Mark Powell, Peter Teichner

We study closed, connected, spin 4-manifolds up to stabilisation by connected sums with copies of $S^{2} \times S^{2}$ . For a fixed fundamental group, there are primary, secondary and…

math.GT2020★ 3 cited

Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups

Daniel Kasprowski, Mark Powell, Benjamin Ruppik

We show that for an oriented 4-dimensional Poincaré complex with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type is determi…

math.KT2019★ 6 cited

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.GT2019★ 3 cited

Topologically flat embedded 2-spheres in specific simply connected 4-manifolds

Daniel Kasprowski, Peter Lambert-Cole, Markus Land +1

In this note we study whether specific elements in the second homology of specific simply connected closed $4$ -manifolds can be represented by smooth or topologically flat embedded…

math.GT2019★ 12 cited

Connected sum decompositions of high-dimensional manifolds

Imre Bokor, Diarmuid Crowley, Stefan Friedl +4

The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decom…

math.GT2019★ 6 cited

$CP^{2}$ -stable classification of $4$ -manifolds with finite fundamental group

Daniel Kasprowski, Peter Teichner

We show that two closed, connected $4$ -manifolds with finite fundamental groups are $CP^{2}$ -stably homeomorphic if and only if their quadratic $2$ -types are stably isomorph…

math.KT2019★ 3 cited

K- and L-theory of graph products of groups

Daniel Kasprowski, Kevin Li, Wolfgang Lück

We compute the group homology, the algebraic $K$ - and $L$ -groups, and the topological $K$ -groups of right-angled Artin groups, right-angled Coxeter groups, and more generally, grap…

math.KT2018★ 10 cited

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★ 3 cited

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…

Stably exotic knotted surfaces up to equivalence

Homeomorphisms of surfaces in 4-manifolds

Stably exotic fillings of 3-manifolds

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

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

Gluck twists on concordant or homotopic spheres

Counterexamples in 4-manifold topology

Embedding surfaces in 4-manifolds

On the Farrell-Jones conjecture for localising invariants

The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds

Homotopy classification of 4-manifolds whose fundamental group is dihedral

Topological 4-manifolds with 4-dimensional fundamental group

Algebraic criteria for stable diffeomorphism of spin 4-manifolds

Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups

Controlled objects in left-exact ∞-categories and the Novikov conjecture

Topologically flat embedded 2-spheres in specific simply connected 4-manifolds

Connected sum decompositions of high-dimensional manifolds

CP2-stable classification of 4-manifolds with finite fundamental group

K- and L-theory of graph products of groups

Split injectivity of A-theoretic assembly maps

Homotopy theory with marked additive categories

Homeomorphisms of surfaces in $4$ -manifolds

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

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

$CP^{2}$ -stable classification of $4$ -manifolds with finite fundamental group