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Classes características de variedades topológicas e generalizadas
(Universidade Federal de São Carlos, 2022-03-24)
In this work, we will initially present generalized bundles, a concept developed by Fadell with
the objective of generalizing vector bundles, Stiefel-Whitney classes andWu’s formula from the
context of smooth manifolds ...
Involuções fixando somas conexas de espaços projetivos e melhorias para o Five Halves Theorem quando Fix(T ) = F n ∪ F j
(Universidade Federal de São Carlos, 2022-12-06)
Let M m be a closed and smooth m-dimensional manifold, and T : M m → M m a smooth involution,
that is, a period 2 diffeomorphism defined on M m . It is well known the fact that the fixed point set
of T , F = {x ∈ M m |T ...
Camadas de heteroestruturas hexagonais planas modeladas por grafos quânticos
(Universidade Federal de São Carlos, 2022-08-24)
We started this work by reviewing an application of periodic quantum graph theory to model monolayer hexagonal materials with δ_a and δ_b parameters associated with the different types of atoms located in their vertices. ...
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 ...
Extensões H-cleft distinguidas por H-identidades polinomiais
(Universidade Federal de São Carlos, 2022-05-27)
Our main object of study is the well-known question asking whether the set of polynomials identities distinguishes PI-algebras up to isomorphism. Let k be an algebraically closed field of characteristic 0 and H a non-semisimple ...