Affordable Access

Publisher Website

Clasp-pass moves on knots, links and spatial graphs

Authors
Journal
Topology and its Applications
0166-8641
Publisher
Elsevier
Publication Date
Volume
122
Issue
3
Identifiers
DOI: 10.1016/s0166-8641(01)00189-4
Keywords
  • Clasp-Pass Move
  • Delta Move
  • Spatial Graph
Disciplines
  • Mathematics

Abstract

Abstract A clasp-pass move is a local move on oriented links introduced by Habiro in 1993. He showed that two knots are transformed into each other by clasp-pass moves if and only if they have the same second coefficient of the Conway polynomial. We extend his classification to two-component links, three-component links, algebraically split links, and spatial embeddings of a planar graph that does not contain disjoint cycles. These are classified in terms of linking numbers, the second coefficient of the Conway polynomial, the Arf invariant, and the Milnor μ-invariant.

There are no comments yet on this publication. Be the first to share your thoughts.