Topology Atlas | Conferences

Knots in Washington XLIV
April 28-30, 2017
George Washington University
Washington, DC, USA

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

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Mirror diagrams and Legendrian equivalence
by
Maxim Prasolov
Moscow state university
Coauthors: Ivan Dynnikov

Mirror diagrams are a special way to represent spatial ribbon graphs. Together with elementary moves they provide a nice calculus for describing isotopy classes of surfaces in the three-space. The elementary moves are of two types and the main fact about them is that moves of different types commute in some sense. A new method for distinguishing Ledenrian knots is based on this fact.

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Date received: April 14, 2017

Copyright © 2017 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 # cbof-11.