On stable commutator length in hyperelliptic mapping class groups

Danny Calegari; Naoyuki Monden; Masatoshi Sato

doi:10.2140/pjm.2014.272.323

On stable commutator length in hyperelliptic mapping class groups

Danny Calegari, Naoyuki Monden, Masatoshi Sato

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

4 Citations (Scopus)

Abstract

We give a new upper bound on the stable commutator length of Dehn twists in hyperelliptic mapping class groups and determine the stable commutator length of some elements. We also calculate values and the defects of homogeneous quasimorphisms derived from ω-signatures and show that they are linearly independent in the mapping class groups of pointed 2-spheres when the number of points is small.

Original language	English
Pages (from-to)	323-351
Number of pages	29
Journal	Pacific Journal of Mathematics
Volume	272
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2014.272.323
Publication status	Published - 2014
Externally published	Yes

Keywords

Mapping class groups
Stable commutator length

ASJC Scopus subject areas

Mathematics(all)

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10.2140/pjm.2014.272.323

Cite this

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abstract = "We give a new upper bound on the stable commutator length of Dehn twists in hyperelliptic mapping class groups and determine the stable commutator length of some elements. We also calculate values and the defects of homogeneous quasimorphisms derived from ω-signatures and show that they are linearly independent in the mapping class groups of pointed 2-spheres when the number of points is small.",

keywords = "Mapping class groups, Stable commutator length",

author = "Danny Calegari and Naoyuki Monden and Masatoshi Sato",

note = "Publisher Copyright: {\textcopyright} 2014 Mathematical Sciences Publishers.",

year = "2014",

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AU - Calegari, Danny

AU - Monden, Naoyuki

AU - Sato, Masatoshi

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AB - We give a new upper bound on the stable commutator length of Dehn twists in hyperelliptic mapping class groups and determine the stable commutator length of some elements. We also calculate values and the defects of homogeneous quasimorphisms derived from ω-signatures and show that they are linearly independent in the mapping class groups of pointed 2-spheres when the number of points is small.

KW - Mapping class groups

KW - Stable commutator length

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On stable commutator length in hyperelliptic mapping class groups

Abstract

Keywords

ASJC Scopus subject areas

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