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KNOTS in WASHINGTON XII Conference on Knot Theory and its Ramifications
May 10-12, 2001
George Washington University
Washington, DC, USA

Organizers
Dubravko Ivansic, Ilya Kofman, Jozef H. Przytycki, Yongwu Rong, Akira Yasuhara

Conference Homepage


Legendrian knots in overtwisted contact structures
by
Kasia Dymara
Ohio State University and Wroclaw University

We study the problem of classification of Legendrian knots in overtwisted contact structures on S3. The question is whether the two well-known integer-valued invariants (Thurston-Bennequin invariant and Maslov index), together with the knot type, form the full set of invariants. We give the positive answer in the case when there is an overtwisted disk intersecting none of the knots.

Date received: May 10, 2001


Copyright © 2001 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 # cahj-16.