Topology Atlas | Conferences

KNOTS in WASHINGTON XV (2nd Japan-USA Workshop in Knot Theory)
January 10-15, 2003
George Washington University and Johns Hopkins University
Washington, DC and Baltimore, MD, USA

Organizers
Kazuaki Kobayashi, Jozef H. Przytycki, Yongwu Rong, Shin-ichi Suzuki, Kouki Taniyama, Tatsuya Tsukamoto, Akira Yasuhara

Conference Homepage


Constructing Algebraic Links and Tangles for Low Edge Numbers
by
Cynthia McCabe
University of Wisconsin - Stevens Point

A method is given for economically constructing any piecewise-linear algebraic link or tangle. This construction, which involves tree diagrams, gives a new upper bound for the edge number of the link. Furthermore, it realizes a minimal-crossing projection of the link. When combined with Conway's basic polyhedra, the tangle constructions lead to upper bounds for larger classes of links.

Date received: September 7, 2002

Copyright © 2002 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 # cajr-02.