On closed leaves of foliations, multisections and stable commutator lengths
classification
🧮 math.GT
math.ATmath.GR
keywords
foliationsstableanswerclosedcommutatorleaveslengthsmultisections
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.