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 |
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Pages (from-to) | 323-351 |
Number of pages | 29 |
Journal | Pacific Journal of Mathematics |
Volume | 272 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 |
Externally published | Yes |
Keywords
- Mapping class groups
- Stable commutator length
ASJC Scopus subject areas
- Mathematics(all)