TL;DR
This paper provides proofs for several longstanding conjectures in symplectic topology related to Lagrangian intersections and fixed points, specifically focusing on cotangent bundles.
Contribution
It offers rigorous proofs for the Arnold Lagrangian intersection conjecture, Arnold-Givental conjecture, and the Arnold fixed point conjecture.
Findings
Proof of the Arnold Lagrangian intersection conjecture on cotangent bundles
Proof of the Arnold-Givental Lagrangian intersection conjecture
Proof of the Arnold fixed point conjecture
Abstract
In this article, we give proofs on the Arnold Lagrangian intersection conjecture on the cotangent bundles, Arnold-Givental Lagrangian intersection conjecture and the Arnold fixed point conjecture.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds