UNSPECIFIED. (2002) Teichmuller spaces and HR structures for hyperbolic surface dynamics. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 22 (Part 6). pp. 1905-1931. ISSN 0143-3857

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Abstract

We construct a Teichmuller space for the C1+-conjugacy classes of hyperbolic dynamical systems on surfaces. After introducing the notion of an HR structure which associates an affine structure with each of the stable and unstable laminations, we show that there is a one-to-one correspondence between these HR structures and the C1+-conjugacy classes. As part of the proof we construct a canonical representative dynamical system for each HR structure. This has the smoothest holonomies of any representative of the corresponding C1+-conjugacy class. Finally, we introduce solenoid functions and show that they provide a good Teichmuller space.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	ERGODIC THEORY AND DYNAMICAL SYSTEMS
Publisher:	CAMBRIDGE UNIV PRESS
ISSN:	0143-3857
Date:	December 2002
Volume:	22
Number:	Part 6
Number of Pages:	27
Page Range:	pp. 1905-1931
Identification Number:	10.1017/S0143385702000792
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10234

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