2026-02-252026-02-252019-02-28CARDOSO, José do Nascimento. Introdução ao cálculo de invariantes topológicos. Orientador: Leandro Oliveira do Nascimento. 2019. 33 f. Trabalho de Curso (Licenciatura em Ciências Naturais) – Faculdade de Ciências Naturais, Campus Universitário de Breves, Universidade Federal do Pará, Breves, 2019. Disponível em: https://bdm.ufpa.br/handle/prefix/9244. Acesso em: .https://bdm.ufpa.br/handle/prefix/9244This work consists of a bibliographical review on the topic topological insulation within the context of condensed matter physics. We present the main concepts of this area, as well as the basic tools to study the topic in Polyacetylene. Among these, we discuss in detail the residue theorem and the winding number. The winding number, also known as fill number, represents a topological invariant, which can be applied to the description of topological phases in Polyacetylene. This material is an organic polymer, that is, materials characterized by the formation of carbon and hydrogen atoms arranged in a chair shape. The vacuum state of this material is doubly degenerate, with only one of them having non-trivial topology, that is, winding number different from zero. The benefits to the field of technology are diverse with the applications of topological insulators, and conductors when doped with oxidizing or reducing materials.Acesso AbertoTopologiaTecnologiaPoliacetilenoTopologyTechnologyPolyacetyleneCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::ELETRICIDADE E MAGNETISMO CAMPOS E PARTICULAS CARREGADASTrabalho de Curso - Graduação - MonografiaAttribution-NonCommercial-NoDerivs 3.0 Brazil