Looking at Linking Numbers

Ken Perko

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

Looking at Linking Numbers
by
Ken Perko
uninstitutionalized

This paper looks at some low-hanging fruit on the great tree of knot theory. Continuing work begun in 1964, it examines crossing reversals of 3-colored knot diagrams that preserve, or predictably alter, the linking number between branch curves of 3-fold non-cyclic covering spaces. See Symmetric Quotients of Knot Groups and a Filtration of the Gordian Graph by S. Baader and A. Kjuchukova at arXix:1711.08144v1 (22 Nov 2017) but don't believe the conjecture at the bottom of page 8.

Date received: January 17, 2018