34 citations · 263 across the 42 of their papers we have counts for
22 papers · 1 filter
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…
Homeomorphisms of surfaces in -manifolds
Anthony Conway, Daniel Kasprowski
This paper establishes necessary and sufficient conditions for locally flat knotted surfaces in simply-connected -manifolds to be equivalent. For surfaces with knot group $\math…
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 .…
The first relative k-invariant
Anthony Conway, Daniel Kasprowski
Motivated by work on the homotopy classification of -manifolds with boundary, we define a relative -invariant for pairs of spaces that are homotopy equivalent to CW pairs. We…
Stably exotic 4-manifolds
Daniel Kasprowski, Mark Powell
A pair of closed, smooth -manifolds and are stably exotic if they are stably homeomorphic but not stably diffeomorphic, where stabilisation refers to connected sum with…
4-manifolds with a given boundary
Anthony Conway, Daniel Kasprowski
This paper studies the homotopy and homeomorphism classifications of -manifolds with boundary. Given -manifolds and with fundamental group , we consider the pr…
Homotopy classification of -manifolds with -manifold fundamental group
Jonathan Hillman, Daniel Kasprowski, Mark Powell +1
We give a criterion on a group and a homomorphism under which closed -manifolds with fundamental group and orientation character are classified u…
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…
Gluck twists on concordant or homotopic spheres
Daniel Kasprowski, Mark Powell, Arunima Ray
Let be a compact -manifold and let and be embedded -spheres in , both with trivial normal bundle. We write and for the -manifolds obtained by th…
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…
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…
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 , up to stabilisation by connected sums…
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…
Topological 4-manifolds with 4-dimensional fundamental group
Daniel Kasprowski, Markus Land
Let be a group satisfying the Farrell-Jones conjecture and assume that is a 4-dimensional Poincaré duality space. We consider topological, closed, connected manifolds with…
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 . For a fixed fundamental group, there are primary, secondary and…
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…
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 -manifolds can be represented by smooth or topologically flat embedded…
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…
-stable classification of -manifolds with finite fundamental group
Daniel Kasprowski, Peter Teichner
We show that two closed, connected -manifolds with finite fundamental groups are -stably homeomorphic if and only if their quadratic -types are stably isomorph…
Four-manifolds up to connected sum with complex projective planes
Daniel Kasprowski, Mark Powell, Peter Teichner
We show that closed, connected 4-manifolds up to connected sum with copies of the complex projective plane are classified in terms of the fundamental group, the orientation charact…
Stable classification of 4-manifolds with 3-manifold fundamental groups
Daniel Kasprowski, Markus Land, Mark Powell +1
We study closed, oriented 4-manifolds whose fundamental group is that of a closed, oriented, aspherical 3-manifold. We show that two such 4-manifolds are stably diffeomorphic if an…
Shrinking of toroidal decomposition spaces
Daniel Kasprowski, Mark Powell
Given a sequence of oriented links L^1,L^2,L^3,... each of which has a distinguished, unknotted component, there is a decomposition of the 3-sphere naturally associated to it, whic…