Vol. 220, No. 2, 2005

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Links and gordian numbers associated with certain generic immersions of circles

Tomomi Kawamura

Vol. 220 (2005), No. 2, 341–357
Abstract

A’Campo, Gibson and Ishikawa constructed links associated to immersed compact one-manifolds in a two-dimensional disk, and determined the gordian numbers for links of immersed arcs. We determine the gordian numbers for links associated with certain immersed circles.

Keywords
divide link, free divide link, gordian number, four-dimensional clasp number
Mathematical Subject Classification 2000
Primary: 57M25, 57M27
Milestones
Received: 5 December 2003
Revised: 10 September 2004
Accepted: 18 September 2004
Published: 1 June 2005
Authors
Tomomi Kawamura
Department of Physics and Mathematics
Aoyama Gakuin University
5-10-1 Fuchinobe Sagamihara
Kanagawa 229-8558
Japan