Abstract
In this note we present a brief introduction to Lagrangian Floer homology and its relation to the solution to the Arnol’d Conjecture, on the minimal number of non-degenerate fixed points of a Hamiltonian diffeomorphism. We start with the basic definition of a critical point on smooth manifolds, in order 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 the Arnol’d Conjecture and how it is related to the intersection of Lagrangian submanifolds.
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Pedroza, A. (2018). A Quick View of Lagrangian Floer Homology. In: Hernández-Lamoneda, L., Herrera, H., Herrera, R. (eds) Geometrical Themes Inspired by the N-body Problem. Lecture Notes in Mathematics, vol 2204. Springer, Cham. https://doi.org/10.1007/978-3-319-71428-8_3
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