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KNOTS in WASHINGTON XII Conference on Knot Theory and its Ramifications
May 10-12, 2001
George Washington University
Washington, DC, USA

Organizers
Dubravko Ivansic, Ilya Kofman, Jozef H. Przytycki, Yongwu Rong, Akira Yasuhara

Conference Homepage


Lagrangian approximation of local moves on links
by
Jozef H. Przytycki
George Washington University

There are various local moves on links which, conjecturally, can reduce any link to a trivial link, or more generally, any tangle to one of a finite collection of tangles (plus possibly trivial components). The moves, I will discuss, preserve the space of Fox n-colorings of a tangle T, for some n. For example a (p, q) move preserves Colpq+1(T). We use the fact that Fox p-colorings of a tangle yield a Lagrangian in the space of colorings of the boundary of the tangle, to approximate the number of tangles to which links can be reduced by the given moves.

Date received: May 9, 2001

Copyright © 2001 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 # cahj-14.