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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Satoh & Rourke’s welded knots
by
Jonathan Schneider
UIC Department of Mathematics

In 2001, Satoh found a topological invariant of welded knots, namely, a ribbon torus knot developed from a diagram of the welded knot. In 2008, Rourke strengthened this model by incorporating the torus’s fiber structure, making it a complete invariant of welded knots. We explore the relationship between Rourke & Satoh’s invariants and consider certain generalizations.

Date received: February 20, 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-09.