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The Poisson boundary of the mapping class group

✍ Scribed by Vadim A. Kaimanovich; Howard Masur


Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
518 KB
Volume
125
Category
Article
ISSN
0020-9910

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Let Ξ£ n g be an orientable surface of genus g 0 with n 0 punctures and Ξ“ n g be its pure mapping class group. The group Ξ“ n g has a filtration {Ξ“ n g [m]} m 1 induced from its action on the fundamental group of Ann. 304 (1996) 99], which is induced from pasting two surfaces with one boundary compone