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Knots of genus one or on the number of alternating knots of given genus |
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| Authors: | A. Stoimenow |
| Affiliation: | Ludwig-Maximilians University Munich, Mathematics Institute, Theresienstraße 39, 80333 München, Germany |
| Abstract: | 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. |
| Keywords: | Positive knots Seifert surfaces Gauss{} diagrams genus unknotting number alternating knots Vassiliev invariants |
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