KNOTS OF GENUS ONE Or on the number of alternating knots of given genus

نویسنده

  • A. Stoimenow
چکیده

We prove that any non-hyperbolic genus one knot except the trefoil does not have a minimal canonical Seifert surface and that there are only polynomially many in the crossing number positive knots of given genus or given unknotting number.

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تاریخ انتشار 1999