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

3 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 - Jan 1 2014
Externally published	Yes

Fingerprint

Keywords

Mapping class groups
Stable commutator length

ASJC Scopus subject areas

Mathematics(all)

Cite this

Calegari, D., Monden, N., & Sato, M. (2014). On stable commutator length in hyperelliptic mapping class groups. Pacific Journal of Mathematics, 272(2), 323-351. https://doi.org/10.2140/pjm.2014.272.323

@article{8baecdd5c5d8441f920c3cc3da5adf1b,

title = "On stable commutator length in hyperelliptic mapping class groups",

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",

year = "2014",

month = jan

day = "1",

doi = "10.2140/pjm.2014.272.323",

language = "English",

volume = "272",

pages = "323--351",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "2",

}

TY - JOUR

T1 - On stable commutator length in hyperelliptic mapping class groups

AU - Calegari, Danny

AU - Monden, Naoyuki

AU - Sato, Masatoshi

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84937399353&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84937399353&partnerID=8YFLogxK

U2 - 10.2140/pjm.2014.272.323

DO - 10.2140/pjm.2014.272.323

M3 - Article

AN - SCOPUS:84937399353

VL - 272

SP - 323

EP - 351

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -

Access to Document

10.2140/pjm.2014.272.323