Kustarev, Geometric proof of Thom conjecture
http://jp.arxiv.org/abs/0708.0359
We present a geometric proof of Thom conjecture, which uses Khovanov homology. Our approach doesn't use any analytic methods and is quite different from proof given by Kronheimer and Mrowka in 1994.
Comments: 8 pages, in Russian, to be translated into English soon