** Embedded minimal tori in S^3 and the Lawson conjecture** http://arxiv.org/abs/1203.6597 S. Brendle

(Submitted on 29 Mar 2012 (v1), last revised 18 Sep 2012 (this version, v3))

We show that any embedded minimal torus in S^3 is congruent to the Clifford torus. This answers a question posed by H.B. Lawson, Jr., in 1970.