(Universidade Federal do Espírito Santo, 2023-05-29) Flores, Thales Danton de Souza; Batoréo, Marta Jakubowicz; http://lattes.cnpq.br/1461528961848898; http://lattes.cnpq.br/0978245375441146; Nascimento, José Victor Goulart; https://orcid.org/0000-0001-6660-792X; http://lattes.cnpq.br/5273512936573286; Balseiro, Paula; http://lattes.cnpq.br/7655880123530492
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.