ListarMatemática por tema "Geometría no conmutativa"

Mostrando ítems 1-6 de 6

    • A nonperturbative form of the spectral action principle in noncommutative geometry 

      Figueroa González, Héctor; Gracia Bondía, José M.; Lizzi, Fedele; Várilly Boyle, Joseph C. (1998-07)
      Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral action principle, only to the Einstein ...

    • Connes' noncommutative differential geometry and the Standard Model 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M. (1993-11)
      In this paper, the Connes-Lott approach to the phenomenological Lagrangian of the standard theory of elementary particles is reviewed in detail. The paper is self-contained, in that the necessary foundations in noncommutative ...

    • Examples of noncommutative geometrical spaces 

      Várilly Boyle, Joseph C. (2004-01)
      We develop some examples of spectral triples in noncommutative geometry, on the theme of the noncommutative torus but with several variations.

    • Moyal planes are spectral triples 

      Gayral, Victor; Gracia Bondía, José M.; Iochum, Bruno; Schücker, Thomas; Várilly Boyle, Joseph C. (2004-04)
      Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R^2N endowed ...

    • Quantum symmetry groups of noncommutative spheres 

      Várilly Boyle, Joseph C. (2001-08)
      We show that the noncommutative spheres of Connes and Landi are quantum homogeneous spaces for certain compact quantum groups. We give a general construction of homogeneous spaces which support noncommutative spin geometries.

    • The interface of noncommutative geometry and physics 

      Várilly Boyle, Joseph C. (2004-01)
      As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent ...