Links associated with generic immersions of graphs

Kawamura, Tomomi

doi:10.2140/agt.2004.4.571

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Links associated with generic immersions of graphs

Tomomi Kawamura

Algebraic & Geometric Topology 4 (2004) 571–594

DOI: 10.2140/agt.2004.4.571

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

Volume 4, issue 1 (2004)