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Unpublished Paper
C^1 actions of the mapping class group on the circle
(2008)
  • Kamlesh Parwani, Eastern Illinois University
Abstract

Let S be a connected orientable surface with finitely many punctures, finitely many boundary components, and genus at least 6. Then any C^1 action of the mapping class group of S on the circle is trivial. The techniques used in the proof of this result permit us to show that products of Kazhdan groups and certain lattices cannot have C^1 faithful actions on the circle. We also prove that for n > 5, any C^1 action of Aut(F_n) or Out(F_n) on the circle factors through an action of Z/2Z.

Disciplines
Publication Date
2008
Citation Information
Kamlesh Parwani. "C^1 actions of the mapping class group on the circle" (2008)
Available at: http://works.bepress.com/kamlesh_parwani/4/