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arXiv:math/0607601 [math.GR]AbstractReferencesReviewsResources

Orbit equivalence rigidity for ergodic actions of the mapping class group

Yoshikata Kida

Published 2006-07-24, updated 2008-08-11Version 3

We establish orbit equivalence rigidity for any ergodic, essentially free and measure-preserving action on a standard Borel space with a finite positive measure of the mapping class group for a compact orientable surface with higher complexity. We prove similar rigidity results for a finite direct product of mapping class groups as well.

Comments: 11 pages, title changed, a part of contents removed
Journal: Geom.Dedicata 131 (2008) 99-109
Categories: math.GR, math.GT
Subjects: 20F38, 37A20, 37A35
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