On stable commutator lengths of Dehn twists along separating curves

被引：1

作者：

Monden, Naoyuki ^{[1
]}

Yoshihara, Kazuya ^{[2
]}

机构：

[1] Osaka Electrocommun Univ, Dept Engn Sci, Hatsu Cho 18-8, Neyagawa, Osaka 5728530, Japan

[2] Kyushu Univ, Inst Math Ind, Nishi Ku, Motooka 744, Fukuoka 8190395, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2017年 / 26卷 / 10期

基金：

日本学术振兴会;

关键词：

Stable commutator length; mapping class group; Dehn twist; separating curve; MAPPING CLASS-GROUPS; LEFSCHETZ FIBRATIONS; SURFACE; BUNDLES;

D O I：

10.1142/S0218216517500560

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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), where g is the genus of the surface.

引用

页数：9

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