Mark Powell

activity

20232026

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Showing 2026 · math.GTShow all

3 papers · 2 filters

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 $M$ . We provide a guide to the literature and sketch proofs for var…

math.GT2026

Smooth stable isotopy of topologically isotopic surfaces

Daniel Galvin, Patrick Orson, Mark Powell

A stabilisation of a $4$ -manifold $X$ is the connected sum of $X$ with some number of copies of $S^{2} \times S^{2}$ . If two smooth surfaces in a $4$ -manifold are topologically isotopic…

math.GT2026

Some remarks on $h$ -cobordisms between smooth 4-manifolds

Alexander Kupers, Mark Powell

It is not known whether the realisation part of the $s$ -cobordism theorem holds for smooth 4-manifolds, nor whether every pair of smoothly $h$ -cobordant 4-manifolds is also smoothl…

A survey on mapping class groups of 3-manifolds

Smooth stable isotopy of topologically isotopic surfaces

Some remarks on h-cobordisms between smooth 4-manifolds

Some remarks on $h$ -cobordisms between smooth 4-manifolds