Topology Atlas | Conferences

Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory
January 9-11, 2009
George Washington University
Washington, DC, USA

Organizers
Yoshiyuki Ohyama (TWCU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Tatsuya Tsukamoto (Osaka IT), Hao Wu (GWU), Akira Yasuhara (Tokyo GU)

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A new twist on Lorenz links
by
Ilya Kofman
College of Staten Island, CUNY
Coauthors: Joan Birman

Lorenz knots are periodic orbits in the flow on R3 given by the Lorenz differential equations. We show that Lorenz links coincide with a natural generalization of twisted torus links, given by repeated positive twisting. Using this correspondence, we identify many of the simplest hyperbolic knots as Lorenz knots. We also show that both hyperbolic volume and the Mahler measure of Jones polynomials are bounded for infinite collections of hyperbolic Lorenz links.

Paper reference: arXiv:0707.4331

Date received: November 13, 2008

Copyright © 2008 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 # caxq-21.