Borodzik, Maciej and Friedl, Stefan (2015) The unknotting number and classical invariants, I. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 15 (1). pp. 85-135. ISSN 1472-2739,
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Given a knot K we introduce a new invariant coming from the Blanchfield pairing and we show that it gives a lower bound on the unknotting number of K. This lower bound subsumes the lower bounds given by the Levine-Tristram signatures, by the Nakanishi index and it also subsumes the Lickorish obstruction to the unknotting number being equal to one. Our approach in particular allows us to show for 25 knots with up to 12 crossings that their unknotting number is at least three, most of which are very difficult to treat otherwise.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HEEGAARD FLOER HOMOLOGY; S-EQUIVALENCE; CODIMENSION 2; KNOT-MODULES; MANIFOLDS; GENUS; LINKS; BLANCHFIELD; 4-MANIFOLDS; INFORMATION; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Jul 2019 09:14 |
| Last Modified: | 31 Jul 2019 09:14 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6258 |
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