Volume 4, issue 1 (2004)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Links associated with generic immersions of graphs

Tomomi Kawamura

Algebraic & Geometric Topology 4 (2004) 571–594

arXiv: math.GT/0409086

Abstract

As an extension of the class of algebraic links, A’Campo, Gibson, and Ishikawa constructed links associated to immersed arcs and trees in a two-dimensional disk. By extending their arguments, we construct links associated to immersed graphs in a disk, and show that such links are quasipositive.

Keywords
divide, graph divide, quasipositive link, slice Euler characteristic, four-dimensional clasp number
Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M27
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Publication
Received: 2 January 2003
Revised: 1 June 2004
Accepted: 5 June 2004
Published: 8 August 2004
Authors
Tomomi Kawamura
Department of Physics and Mathematics
Aoyama Gakuin University
5-10-1
Fuchinobe Sagamihara
Kanagawa 229-8558
Japan