Algebraic and Geometric Topology 4 (2004), paper no. 26, pages 571-594.

Links associated with generic immersions of graphs

Tomomi Kawamura

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

AMS subject classification. Primary: 57M25. Secondary: 57M27.

DOI: 10.2140/agt.2004.4.571

E-print: arXiv:math.GT/0409086

Submitted: 2 January 2003. (Revised: 1 June 2004.) Accepted: 5 June 2004. Published: 8 August 2004.

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Tomomi Kawamura
Department of Physics and Mathematics, Aoyama Gakuin University
5-10-1, Fuchinobe Sagamihara, Kanagawa 229-8558, Japan
Email: tomomi@gem.aoyama.ac.jp

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