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Now showing items 11-16 of 16
Fecho integral de módulos, multiplicidades e poliedros de Newton
(Universidade Federal de São Carlos, 2022-08-03)
In this work, we study the integral closure of ideals, Newton polyhedra and Newton non-degenerate ideals. Moreover, we present generalizations of these concepts for modules then, we study the characterization of Newton ...
Compactly-supported and relative integration in differential cohomology
(Universidade Federal de São Carlos, 2022-04-11)
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 ...
Involuções fixando RP(6)URP(2n) e variedades compatíveis com o ponto com respeito à involuções
(Universidade Federal de São Carlos, 2020-11-25)
In this work, we have two objectives: the first lives in the context of the classification, up to equivariant cobordism, of the pairs (M, T) , where M is a closed and smooth manifold and T is a smooth involution ...
Twisted Borel K-theory and isomorphisms between differential models of K-theory
(Universidade Federal de São Carlos, 2022-07-04)
In this thesis we discuss some topics about twisted K-theory calculations and equivalences between a couple of differential extension models. We start with a mathematical review of models for twisted K-theory, differential ...
Differential cohomology on maps of pairs and relative-parallel product
(Universidade Federal de São Carlos, 2021-10-06)
In this thesis, we study three important topics. The first one provides an axiomatic framework to differential cohomology on maps of pairs of topological spaces, introducing the product between relative and parallel classes. ...
Ações de Z2k com o conjunto de pontos fixos conexo e a propriedade CP
(Universidade Federal de São Carlos, 2021-10-27)
It is well known that if $\phi:G \times M^m \rightarrow M^m$ is a smooth action of a compact Lie group on a closed smooth manifold, then its fixed point set $F_{\phi} = \bigcup\limits_{i=0}^{n}F^{i}$ is a disjoint union ...