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.
Original language | English (US) |
---|---|
Pages (from-to) | 135-149 |
Number of pages | 15 |
Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
Volume | 146 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2009 |
ASJC Scopus subject areas
- General Mathematics