On stable commutator lengths of Dehn twists along separating curves

Naoyuki Monden; Kazuya Yoshihara

doi:10.1142/S0218216517500560

On stable commutator lengths of Dehn twists along separating curves

Naoyuki Monden, Kazuya Yoshihara

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

1 Citation (Scopus)

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), where g is the genus of the surface.

Original language	English
Article number	1750056
Journal	Journal of Knot Theory and its Ramifications
Volume	26
Issue number	10
DOIs	https://doi.org/10.1142/S0218216517500560
Publication status	Published - Sept 1 2017
Externally published	Yes

Keywords

Dehn twist
Stable commutator length
mapping class group
separating curve

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216517500560

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title = "On stable commutator lengths of Dehn twists along separating curves",

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), where g is the genus of the surface.",

keywords = "Dehn twist, Stable commutator length, mapping class group, separating curve",

author = "Naoyuki Monden and Kazuya Yoshihara",

note = "Funding Information: The first author was supported by Grant-in-Aid for Young Scientists (B) (No. 25800043), Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

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AU - Monden, Naoyuki

AU - Yoshihara, Kazuya

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PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

KW - Dehn twist

KW - Stable commutator length

KW - mapping class group

KW - separating curve

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On stable commutator lengths of Dehn twists along separating curves

Abstract

Keywords

ASJC Scopus subject areas

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