A Quick View of Lagrangian Floer Homology
Symplectic Geometry
2017-01-10 v1
Abstract
In this note we present a brief introduction to Lagrangian Floer homology and its relation with the solution of Arnol'd conjecture, on the minimal number of non-degenerate fixed points of a Hamiltonian diffeomorphism. We start with the basic definition of critical point on smooth manifolds, in oder to sketch some aspects of Morse theory. Introduction to the basics concepts of symplectic geometry are also included, with the idea of understanding the statement of Arnol'd Conjecture and how is related to the intersection of Lagrangian submanifolds.
Keywords
Cite
@article{arxiv.1701.02293,
title = {A Quick View of Lagrangian Floer Homology},
author = {Andrés Pedroza},
journal= {arXiv preprint arXiv:1701.02293},
year = {2017}
}
Comments
These lecture notes are based on a course given at the 7th. Mini Meeting on Differential Geometry held at CIMAT in February 2015