A short proof of cuplength estimates on Lagrangian intersections

In this note we give a short proof of Arnold's conjecture for the zero section of a cotangent bundle of a closed manifold. The proof is based on some basic properties of Lagrangian spectral invariants from Floer theory.

Bibliographic Details
Main Author: Wenmin Gong
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:Communications in Analysis and Mechanics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/cam.2023003?viewType=HTML