On closed leaves of foliations, multisections and stable commutator lengths

Jonathan Bowden

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arXiv · 1105.4444

On closed leaves of foliations, multisections and stable commutator lengths

Jonathan Bowden

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Abstract

We give examples of foliations that answer two questions posed by Mitsumatsu and Vogt about the genus minimising properties of closed leaves of 2-dimensional foliations on 4-manifolds. By studying stable commutator lengths in certain stable mapping class groups, we also answer an asymptotic version of another question of theirs concerning bounds on self-intersection numbers of multisections in surface bundles.

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Jonathan Bowden. 2011-05-23. On closed leaves of foliations, multisections and stable commutator lengths. https://arxiv.org/abs/1105.4444

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