10 citations · 15 across the 8 of their papers we have counts for
8 papers
A survey on mapping class groups of 3-manifolds
Philipp Bader, Rachael Boyd, Giulia Carfora +8
We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold . We provide a guide to the literature and sketch proofs for var…
Four-manifolds, two-complexes and the quadratic bias invariant
Ian Hambleton, John Nicholson
Kreck and Schafer produced the first examples of stably diffeomorphic closed smooth 4-manifolds which are not homotopy equivalent. They were constructed by applying the doubling co…
Generalised doubles and simple homotopy types of high dimensional manifolds
Csaba Nagy, John Nicholson, Mark Powell
We characterise the set of fundamental groups for which there exist -manifolds that are -cobordant (hence homotopy equivalent) but not simple homotopy equivalent, when is…
Stable equivalence relations on 4-manifolds
Daniel Kasprowski, John Nicholson, Simona Veselá
Kreck's modified surgery gives an approach to classifying smooth -manifolds up to stable diffeomorphism, i.e. up to connected sum with copies of . In dimension…
On the universal pairing for 2-complexes
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson
The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 by Freedman et al. We prove an analogous result for 2-complexes, and also show that the…
Simple homotopy types of even dimensional manifolds
Csaba Nagy, John Nicholson, Mark Powell
Given a closed -manifold, we consider the set of simple homotopy types of -manifolds within its homotopy type, called its simple homotopy manifold set. We characterise it in…
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…
On CW-complexes over groups with periodic cohomology
John Nicholson
If has -periodic cohomology, then D2 complexes over are determined up to polarised homotopy by their Euler characteristic if and only if has at most two one-dimensio…