On upper bounds on stable commutator lengths in mapping class groups

Naoyuki Monden

doi:10.1016/j.topol.2011.11.020

On upper bounds on stable commutator lengths in mapping class groups

Naoyuki Monden

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1085-1091
Number of pages	7
Journal	Topology and its Applications
Volume	159
Issue number	4
DOIs	https://doi.org/10.1016/j.topol.2011.11.020
Publication status	Published - Mar 1 2012
Externally published	Yes

Keywords

Lefschetz fibrations
Mapping class groups
Stable commutator lengths

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2011.11.020

Cite this

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title = "On upper bounds on stable commutator lengths in mapping class groups",

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.",

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AB - 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.

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KW - Mapping class groups

KW - Stable commutator lengths

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JF - Topology and its Applications

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ER -

On upper bounds on stable commutator lengths in mapping class groups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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