John Nicholson

activity

20192021

most citedConnected sum decompositions of high-dimensional manifolds

12 citations · 16 across the 3 of their papers we have counts for

collaborators

3 papers

math.AT2021★ 1 cited

Stably free modules and the unstable classification of 2-complexes

John Nicholson

For all $k \geq 2$ , we show that there exists a group $G$ and a non-free stably free $Z G$ -module of rank $k$ . We use this to show that, for all $k \geq 2$ , there exist homo…

math.AT2020★ 3 cited

Cancellation for $(G, n)$ -complexes and the Swan finiteness obstruction

John Nicholson

In previous work, we related homotopy types of finite $(G, n)$ -complexes when $G$ has periodic cohomology to projective $Z G$ -modules representing the Swan finiteness obstr…

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…

Stably free modules and the unstable classification of 2-complexes

Cancellation for (G,n)-complexes and the Swan finiteness obstruction

Connected sum decompositions of high-dimensional manifolds

Cancellation for $(G, n)$ -complexes and the Swan finiteness obstruction