Conformal grafting and convergence of Fenchel-Nielsen twist coordinates
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- by Maxime Fortier Bourque
- Conform. Geom. Dyn. 19 (2015), 1-18
- DOI: https://doi.org/10.1090/S1088-4173-2015-00273-8
- Published electronically: January 23, 2015
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Abstract:
We cut a hyperbolic surface of finite area along some analytic simple closed curves, and glue in cylinders of varying moduli. We prove that as the moduli of the glued cylinders go to infinity, the Fenchel-Nielsen twist coordinates for the resulting surface around those cylinders converge.References
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Bibliographic Information
- Maxime Fortier Bourque
- Affiliation: Department of Mathematics, The Graduate Center, City University of New York, 365 Fifth Avenue, New York, New York 10016
- Email: maxforbou@gmail.com
- Received by editor(s): September 10, 2014
- Published electronically: January 23, 2015
- Additional Notes: The author’s research was partially supported by the Natural Sciences and Engineering Research Council of Canada.
- © Copyright 2015 American Mathematical Society
- Journal: Conform. Geom. Dyn. 19 (2015), 1-18
- MSC (2010): Primary 30F60; Secondary 30F45
- DOI: https://doi.org/10.1090/S1088-4173-2015-00273-8
- MathSciNet review: 3302905