Volume 14, issue 4 (2010)

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Circle homeomorphisms and shears

Dragomir Šarić

Geometry & Topology 14 (2010) 2405–2430
Abstract

We give parameterizations of homeomorphisms, quasisymmetric maps and symmetric maps of the unit circle in terms of shear coordinates for the Farey tesselation.

Keywords
homeomorphisms, quasisymmetric, symmetric, shear, decoration, tesselations, lambda length, horocyclic length
References
Publication
Received: 11 October 2009
Accepted: 6 September 2010
Published: 27 November 2010
Proposed: Jean-Pierre Otal
Seconded: Benson Farb, Walter Neumann
Authors
Dragomir Šarić
Department of Mathematics
Queens College
CUNY
65-30 Kissena Blvd
Kiely Hall, Room 237
Flushing NY 11367
USA
http://qcpages.qc.cuny.edu/~dsaric/