3 papers
math.GT2026
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…
math.GT2024
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…
math.GT2024
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…