The First-Order Genus of a Knot
classification
🧮 math.GT
keywords
calledfirst-ordergenusinvariantknotssomecertaincomplexes
read the original abstract
We introduce a geometric invariant of knots in the three-sphere, 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.
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