Geometric proof of Thom conjecture

2007/08/02 by Andrei Kustarev, Kustarev, Andrei
Computer Science · Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GT

paper · pdf · doi:10.48550/arxiv.0708.0359

This paper has been withdrawn by the author due a crucial sign error in Theorem B

arxiv created 2013/03/10 · arxiv updated 2013/03/12

Abstract

This paper has been withdrawn by the author due a crucial sign error in Theorem B. We present a geometric proof of Thom conjecture, which uses Khovanov homology.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.

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