%0 Journal Article %T A geometric proof of the Milnor conjecture %A Vyacheslav Krushkal %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1205.3141v2