A geometric proof of the Milnor conjecture
Abstract
A geometric argument is given to prove that the Seifert genus of a positive knot equals its slice genus. A combinatorial invariant, giving a lower bound for the slice genus, is formulated for arbitrary knots. Properties and applications of this invariant are discussed.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2012
- DOI:
- arXiv:
- arXiv:1205.3141
- Bibcode:
- 2012arXiv1205.3141K
- Keywords:
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- Mathematics - Geometric Topology
- E-Print:
- This paper has been withdrawn by the author due to a gap in the proof of the main theorem