A Proof On Arnold-Chekanov Conjecture
Renyi Ma
TL;DR
This paper provides a proof of the Arnold-Chekanov Lagrangian intersection conjecture in cotangent bundles, advancing understanding in symplectic topology and Lagrangian intersection theory.
Contribution
It offers a rigorous proof of the Arnold-Chekanov conjecture and extends its results to more general settings in cotangent bundles.
Findings
Confirmed the conjecture in cotangent bundles
Extended the conjecture to broader classes of symplectic manifolds
Provided new techniques for Lagrangian intersection proofs
Abstract
In this article, we give a proof on the Arnold-Chekanov Lagrangian intersection conjecture on the cotangent bundles and its generalizations.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · semigroups and automata theory