Invariants of genus 2 mutants
| Autor: | Morton, H. R., Ryder, N. |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | J.Knot Theor.Ramifications 18:1423-1438,2009 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0218216509007506 |
| Popis: | Pairs of genus 2 mutant knots can have different Homfly polynomials, for example some 3-string satellites of Conway mutant pairs. We give examples which have different Kauffman 3-variable polynomials, answering a question raised by Dunfield et al in their study of genus 2 mutants. While pairs of genus 2 mutant knots have the same Jones polynomial, given from the Homfly polynomial by setting v=s^2, we give examples whose Homfly polynomials differ when v=s^3. We also give examples which differ in a Vassiliev invariant of degree 7, in contrast to satellites of Conway mutant knots. Comment: 16 pages, 20 figures |
| Databáze: | arXiv |
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