Constructing Seifert surfaces for n-bridge link projections
Date
2010
Authors
Licata, Joan
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Publisher
World Scientific Publishing Company
Abstract
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 relative second homology classes in a link complement.
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Keywords: Knot theory; Minimal complexity surfaces; Seifert surface; Thurston norm
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Source
Journal of Knot Theory and Its Ramifications
Type
Journal article
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2037-12-31
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