Topology Atlas | Conferences

KNOTS in WASHINGTON 10 Japan-USA; workshop in Knot Theory
January 23-30, 2000
George Washington University
Washington, DC, USA

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

Conference Homepage


Abstract link diagrams and virtual knots
by
Seiichi Kamada
Osaka City University/ University of South Alabama
Coauthors: Naoko Kamada (University of South Alabama)

The notion of an abstract link diagram was announced by N. Kamada at a regional conference in 1993 and an international conference in 1996 held at Waseda University. We show that this notion is equivalent to Kauffman's virtual knots. Then each of upper and lower presented quandles of a virtual knot (or of its corresponding abstract link diagram) has a geometrical meaning, which can be interpreted as the fundamental quandle, in the sense of Joyce and Fenn-Rourke, of a "quasi-link" associate with the abstract link diagram. Moreover the notion of an abstract link diagram is easily generalized to 4-dimensional case.

Seiichi Kamada's Home Page (at USA)

Date received: January 12, 2000

Copyright © 2000 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 # caea-05.