Browsing Teses e dissertações by Subject "Differential cohomology"

Now showing items 1-3 of 3

    • Relative differential cohomology 

      Rocha Barriga, Juan Carlos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 27/09/2017)
      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 ...

    • Compactly-supported and relative integration in differential cohomology 

      Barbosa, Brenno Gustavo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 11/04/2022)
      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 ...

    • Differential cohomology on maps of pairs and relative-parallel product 

      Nunez Maldonado, Juan Carlos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 06/10/2021)
      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. ...