A geometric proof of the Milnor conjecture

Vyacheslav Krushkal

A geometric proof of the Milnor conjecture

Geometric Topology 2012-05-22 v2

Authors: Vyacheslav Krushkal

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.

Keywords

Milnor conjecture geometric proof Seifert genus slice genus positive knot combinatorial invariant

Cite

@article{arxiv.1205.3141,
  title  = {A geometric proof of the Milnor conjecture},
  author = {Vyacheslav Krushkal},
  journal= {arXiv preprint arXiv:1205.3141},
  year   = {2012}
}

Comments

This paper has been withdrawn by the author due to a gap in the proof of the main theorem

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