Conformal grafting and convergence of Fenchel-Nielsen twist coordinates
Author:
Maxime Fortier Bourque
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
Published electronically:
January 23, 2015
MathSciNet review:
3302905
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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.
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Additional 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
Keywords:
Teichmüller space,
Fenchel-Nielsen coordinates,
hyperbolic metric,
geometric convergence,
distortion theorem
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.
Article copyright:
© Copyright 2015
American Mathematical Society
