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Constructing Seifert surfaces for n-bridge link projections

Licata, Joan

Description

This paper presents a new algorithm for constructing Seifert surfaces from n-bridge projections of links. The algorithm, 21, produces minimal complexity surfaces for large classes of braids and alternating links. In addition, we consider a family of knots for which canonical genus is strictly greater than genus, (gc(K) > g(K)), and show that builds surfaces realizing the knot genus g(K). We also present a generalization of Seifert's algorithm which constructs surfaces representing arbitrary...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/30721
Source: Journal of Knot Theory and Its Ramifications
DOI: 10.1142/S021821651000784X

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