Homologia de Morse e uma aplicação em geometria simplética
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Universidade Federal do Espírito Santo
Abstract
In this work some concepts and main results of Morse theory are presented, such as Morse’s lemma and Smale’s theorem. Furthermore, we will present a particular case of Arnold’s conjecture which is an application of Morse theory in symplectic geometry.
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Keywords
Teoria de Morse, Geometria simplética, Homologia de Morse, Conjectura de Arnold