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Published 2015 | Version Submitted
Book Section - Chapter Open

On the asymptotic behavior of complex earthquakes and Teichmüller disks

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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).

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Submitted - 1311.4933v1.pdf

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1311.4933v1.pdf

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Eprint ID
62766
Resolver ID
CaltechAUTHORS:20151210-073928267

Related works

Describes
http://arxiv.org/abs/1311.4933 (URL)

Funding

Danish Research Foundation
DNRF95

Dates

Created
2015-12-10
Created from EPrint's datestamp field
Updated
2021-11-10
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Caltech Custom Metadata

Series Name
Contemporary Mathematics
Series Volume or Issue Number
639