Homologia de Morse e uma aplicação em geometria simplética
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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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Brasil |
| Institución: | Universidade Federal do Espírito Santo (UFES) |
| Repositorio: | Repositório Institucional da Universidade Federal do Espírito Santo (riUfes) |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufes.br:10/17055 |
| Acceso en línea: | http://repositorio.ufes.br/handle/10/17055 |
| Access Level: | acceso abierto |
| Palabra clave: | Teoria de Morse Geometria simplética Homologia de Morse Conjectura de Arnold subject.br-rjbn Matemática |
| Sumario: | 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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