The order of periodic elements of Teichmuller modular groups

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概要

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• We consider a quasiconformal automorphism of a Riemann surface, which fixes the homotopy class of a simple closed geodesic. Under certain conditions on the injectivity radius of the surface and bounds on the dilatation of the map, the automorphism induces a periodic element of the Teichmuller modular group. We may also estimate the order of the period.

• 東北大学の論文

著者

• Fujikawa Ege

  Department Of Mathematical And Computing Sciences Tokyo Institute Of Technology

関連論文

• Structure theorem for holomorphic self-covers of Riemann surfaces and its applications (Infinite dimensional Teichmuller spaces and moduli spaces)
• Elliptic modular transformations on Teichmuller and asymptotic Teichmuller spaces (Infinite dimensional Teichmuller spaces and moduli spaces)
• On the action of the mapping class group for Riemann surfaces of infinite type : Dedicated to Professor Hiroki Sato on his 60th birthday
• The order of periodic elements of Teichmuller modular groups

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