Topology Atlas | Conferences

Knots in Washington XXXVI
May 3-5, 2013
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Bendings by finitely additive transverse cocycles
by
Dragomir Saric
CUNY/Graduate Center and Queens College

Let S be a closed hyperbolic surface and let L be a maximal geodesic lamination on S. Thurston and Bonahon parametrized pleated surfaces with the pleating locus L using finitely additive complex-valued transverse cocycles to L. A pleated surface with the pleating locus L is obtained by bending a (totally geodesic in the hyperbolic three space) hyperbolic structure according to a transverse cocycle. Motivated by the recent proof of the surface subgroup conjecture(Kahn-Markovic), we establish a sufficient condition on transverse cocycles such that the bending map induces a quasiFuchsian representation of the fundamental group of S. Our condition is genus independent.

Date received: May 2, 2013

Copyright © 2013 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbhe-16.