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Cell decompositions
of Teichmüller spaces of surfaces with boundary
Ren Guo and Feng Luo |
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Vol. 253 (2011), No. 2, 423–438
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Abstract |
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A family of coordinates ψh for the Teichmüller space of a compact surface with boundary was introduced by the second author. Mondello showed that the coordinate ψ0 can be used to produce a natural cell decomposition of the Teichmüller space, invariant under the action of the mapping class group. In this paper, we show that, for any h ≥ 0, the coordinate ψh produces a natural cell decomposition of the Teichmüller space. |
Keywords
Teichmüller space, cell decomposition, arc complex,
Delaunay decomposition, ψh-coordinates
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Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 30F60
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Milestones
Received: 29 December 2010
Revised: 2 August 2011
Accepted: 10 August 2011
Published: 21 January 2012
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Authors |
| Ren Guo | |
| School of Mathematics University of Minnesota 206 Church St. SE Minneapolis, Minnesota 55455 United States |
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| Feng Luo | |
| Department of Mathematics Rutgers University 110 Frelinghuysen Rd. Piscataway New Jersey 08854 United States |
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