Published 2015
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On the asymptotic behavior of complex earthquakes and Teichmüller disks
Abstract
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.
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).Attached Files
Submitted - 1311.4933v1.pdf
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1311.4933v1.pdf
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Additional details
- Eprint ID
- 62766
- Resolver ID
- CaltechAUTHORS:20151210-073928267
- DNRF95
- Danish Research Foundation
- Created
-
2015-12-10Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Series Name
- Contemporary Mathematics
- Series Volume or Issue Number
- 639