English

On stable commutator lengths of Dehn twists along separating curves

Geometric Topology 2016-06-29 v1 Group Theory

Abstract

We give new upper bounds on the stable commutator lengths of Dehn twists along separating curves in the mapping class group of a closed oriented surface. The estimates of these upper bounds are O(1/g)O(1/g), where gg is the genus of the surface.

Keywords

Cite

@article{arxiv.1606.08643,
  title  = {On stable commutator lengths of Dehn twists along separating curves},
  author = {Naoyuki Monden and Kazuya Yoshihara},
  journal= {arXiv preprint arXiv:1606.08643},
  year   = {2016}
}

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6 pages