关于叶理的闭叶、多段和稳定换位子长度
On closed leaves of foliations, multisections and stable commutator lengths
摘要:
我们给出的例子叶理,回答了两个问题所提出的Mitsumatsu和Vogt的属最小化性质的闭叶的2维叶理4流形。通过研究某些稳定映射类群中的稳定换位子长,我们还回答了他们关于曲面丛中多截自相交数的界的另一个问题的渐近形式.
英文摘要:
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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