John Nicholson

activity

20192026

most citedOn CW-complexes over groups with periodic cohomology

10 citations · 15 across the 8 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

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 $n$ -manifolds that are $h$ -cobordant (hence homotopy equivalent) but not simple homotopy equivalent, when $n$ is…

math.GT2024★ 1 cited

Stable equivalence relations on 4-manifolds

Daniel Kasprowski, John Nicholson, Simona Veselá

Kreck's modified surgery gives an approach to classifying smooth $2 n$ -manifolds up to stable diffeomorphism, i.e. up to connected sum with copies of $S^{n} \times S^{n}$ . In dimension…