Topology Atlas | Conferences

Knots in Washington XL in memory of Sergei Duzhin (1956-2015)
March 9-11, 2015
George Washington University and Georgetown University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Paul Kainen (Georgetown U.), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Annuli with Legendrian boundary
by
Ivan Dynnikov
Steklov Mathematical Institute, Moscow
Coauthors: Maxim Prasolov

Let A be an annulus embedded in the three-space so that A is tangent to the standard contact structure at all boundary points. This means, in particular, that A is cobounded by two knots K1, K2 that are Legendrian and have the same topological type. Is it true that K1 and K2 are always Legendrian equivalent? By using grid diagrams we prove a weaker statement and suggest a method to disprove the original one.

Date received: February 19, 2015

Copyright © 2015 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 # cbkp-07.