Compactly-supported and relative integration in differential cohomology

• Ano de defesa: 2022
• Autor(a) principal: Barbosa, Brenno Gustavo
• Orientador(a): Ruffino, Fabio Ferrari
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Universidade Federal de São Carlos; Câmpus São Carlos
• Programa de Pós-Graduação: Programa de Pós-Graduação em Matemática - PPGM
• Palavras-chave em Português: Cohomologia diferencial; Integração diferencial; Topologia algébrica; Geometria diferencial
• Palavras-chave em Inglês: Differential cohomology; Differential integration; Algebraic topology; Differential geometry
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA
• Link de acesso: https://repositorio.ufscar.br/handle/20.500.14289/16247

In this work, we have constructed more general versions of differential integration maps in differential cohomology theories. Among the obtained versions we can mention the integration with compact supports, the integration with vertically compact supports and their relative versions. To obtain these maps, it was necessary to construct a special product between parallel and relative differential classes and to extend differential cohomology theories to a category of sequences of manifolds.