TY - JOUR
T1 - On upper bounds on stable commutator lengths in mapping class groups
AU - Monden, Naoyuki
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/3/1
Y1 - 2012/3/1
N2 - 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.
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.
KW - Lefschetz fibrations
KW - Mapping class groups
KW - Stable commutator lengths
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U2 - 10.1016/j.topol.2011.11.020
DO - 10.1016/j.topol.2011.11.020
M3 - Article
AN - SCOPUS:84856022972
SN - 0166-8641
VL - 159
SP - 1085
EP - 1091
JO - Topology and its Applications
JF - Topology and its Applications
IS - 4
ER -