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On the asymptotic behavior of complex earthquakes and Teichmüller disks

Gupta, Subhojoy (2015) On the asymptotic behavior of complex earthquakes and Teichmüller disks. In: Geometry, Groups and Dynamics. Contemporary Mathematics. No.639. American Mathematical Society , Providence, RI. ISBN 978-0-8218-9882-6.

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Given a hyperbolic surface and a simple closed geodesic on it, complex-twists along the curve produce a holomorphic family of deformations in Teichmüller space, degenerating to the Riemann surface where it is pinched. We show there is a corresponding Teichmüller disk such that the two are strongly asymptotic, in the Teichmüller metric, around the noded Riemann surface. We establish a similar comparison with plumbing deformations that open the node.

Item Type:Book Section
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Additional Information:© 2015 American Mathematical Society. This work was (partly) supported by the Danish Research Foundation DNRF95 (Center for Quantum Geometry of Moduli Spaces - QGM).
Funding AgencyGrant Number
Danish Research FoundationDNRF95
Series Name:Contemporary Mathematics
Issue or Number:639
Classification Code:2010 Mathematics Subject Classification: Primary 30F60, 32G15, 57M50
Record Number:CaltechAUTHORS:20151210-073928267
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62766
Deposited By: Tony Diaz
Deposited On:10 Dec 2015 21:04
Last Modified:03 Oct 2019 09:22

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