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 ...

We briefly review the classical construction of the Cheeger-Simons characters, the Deligne cohomology groups and the differential K-theory groups, which are representatives of the absolute differential refinement of the ...

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. ...

El presente trabajo muestra a un estudiante de pregrado de matemática demostraciones de los principales resultados que encierra la teoría de la continuidad automática en álgebras de funciones diferenciables, de manera que ...

On the following thesis, the Fredholm’s index associated to the Dirac operator over the 2- sphere is going to be computed. By making use of Atiyah’s and Singer’s index theory, and by using projections, such computation for ...