Topology Atlas | Conferences

Knots in Washington XLVI: 70th Birthday of Oleg Viro;
May 4-6, 2018
George Washington University,
Washington, DC, USA

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

Conference Homepage


Obstructions of algebraic Gordian distance one
by
Jie Chen
Tohoku Univ. (until Mar.27), McMaster Univ. (from Sep.7)

The Gordian distance of two knots is defined to be the minimal number of crossing changes from one knot to the other. Based on matrix operations analogous to crossing changes, Murakami introduced the algebraic Gordian distance between two Seifert matrices. We calculate the Blanchfield pairing when the algebraic Gordian distance is one and then use it to improve a result of Kawauchi. We extend this method to torus knots and conclude some new obstructions of algebraic Gordian distance one.

Date received: March 30, 2018

Copyright © 2018 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 # cboy-12.