On upper bounds on stable commutator lengths in mapping class groups |
| |
Authors: | Naoyuki Monden |
| |
Institution: | Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan |
| |
Abstract: | We give new upper bounds on the stable commutator lengths of Dehn twists in mapping class groups and new lower bounds on the stable commutator lengths of Dehn twists in hyperelliptic mapping class groups. In particular, we show that the stable commutator lengths of Dehn twists about a nonseparating and a separating curve on an oriented closed surface of genus 2 are not equal to each other. |
| |
Keywords: | Stable commutator lengths Mapping class groups Lefschetz fibrations |
本文献已被 ScienceDirect 等数据库收录! |
|