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The first-order genus of a knot
Published online by Cambridge University Press: 01 January 2009
Abstract
We introduce a geometric invariant of knots in S3, called the first-order genus, that is derived from certain 2-complexes called gropes, and we show it is computable for many examples. While computing this invariant, we draw some interesting conclusions about the structure of a general Seifert surface for some knots.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 1 , January 2009 , pp. 135 - 149
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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