Geometric proof of Thom conjecture
Andrei Kustarev
TL;DR
This paper offers a geometric proof of the Thom conjecture utilizing Khovanov homology, avoiding analytic methods and differing from previous proofs by Kronheimer and Mrowka.
Contribution
It introduces a novel geometric proof of the Thom conjecture based on Khovanov homology, distinct from earlier analytic approaches.
Findings
Proof leverages Khovanov homology for geometric insights
Provides an alternative to analytic methods in topology
Highlights differences from previous proofs by Kronheimer and Mrowka
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This paper has been withdrawn by the author due a crucial sign error in Theorem B. We present a geometric proof of Thom conjecture, which uses Khovanov homology.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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Topological and Geometric Data Analysis