Geometry & Topology
- Geom. Topol.
- Volume 17, Number 1 (2013), 157-234.
A cyclic extension of the earthquake flow I
Let be Teichmüller space of a closed surface of genus at least . We describe an action of the circle on , which limits to the earthquake flow when one of the parameters goes to a measured lamination in the Thurston boundary of . This circle action shares some of the main properties of the earthquake flow, for instance it satisfies an extension of Thurston’s Earthquake Theorem and it has a complex extension which is analogous and limits to complex earthquakes. Moreover, a related circle action on extends to the product of two copies of the universal Teichmüller space.
Geom. Topol., Volume 17, Number 1 (2013), 157-234.
Received: 6 September 2011
Revised: 5 July 2012
Accepted: 13 August 2012
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57M50: Geometric structures on low-dimensional manifolds
Bonsante, Francesco; Mondello, Gabriele; Schlenker, Jean-Marc. A cyclic extension of the earthquake flow I. Geom. Topol. 17 (2013), no. 1, 157--234. doi:10.2140/gt.2013.17.157. https://projecteuclid.org/euclid.gt/1513732522