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


Delta distance and Vassiliev invariants of knots
by
Harumi Yamada
Tokyo Woman's Christian University

It is shown by Y. Ohyama, K. Taniyama and S. Yamada that for any natural number n and any knot K, there are infinitely many unknotting number one knots whose Vassiliev invariants of order less than or equal to n coincide with that of K. We analize it for delta unknotting number and obtain the following. For any natural number n and any oriented knots K and M with a2(K) ≠ a2(M) there are infinitely many knots Jm such that the delta distance between Jm and M coincide with |a2(K)-a2(M)| and whose Vassiliev invariants of order less than or equal to n coincide with that of K. Here a2(K) is the second coefficient of the Conway polynomial of K.

Paper reference: doi:10.1142/S0218216500000566

Date received: February 29, 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-33.