ListarMatemática por tema "GEOMETRY"

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 ...

    • Dixmier traces on noncompact isospectral deformations 

      Gayral, Victor; Iochum, Bruno; Várilly Boyle, Joseph C. (2006)
      We extend the isospectral deformations of Connes, Landi and Dubois-Violette to the case of Riemannian spin manifolds carrying a proper action of the noncompact abelian group R^l. Under deformation by a torus action, a ...

    • Hopf algebras in noncommutative geometry 

      Várilly Boyle, Joseph C. (2003)
      We give an introductory survey to the use of Hopf algebras in several problems of noncommutative geometry. The main example, the Hopf algebra of rooted trees, is a graded, connected Hopf algebra arising from a universal ...

    • Orbifolds are not commutative geometries 

      Rennie, Adam; Várilly Boyle, Joseph C. (2008)
      In this note we show that the crucial orientation condition for commutative geometries fails for the natural commutative spectral triple of an orbifold M/G.

    • The Dirac operator on SU_q(2) 

      Dabrowski, Ludwik; Landi, Giovanni; Sitarz, Andrzej; Van Suijlekom, Walter; Várilly Boyle, Joseph C. (2005)
      We construct a 3^+ summable spectral triple (A(SU_q(2)),H,D) over the quantum group SU_q(2) which is equivariant with respect to a left and a right action of U_q(su(2)). The geometry is isospectral to the classical case ...

    • The local index formula for SU_q(2) 

      Van Suijlekom, Walter; Dabrowski, Ludwik; Landi, Giovanni; Sitarz, Andrzej; Várilly Boyle, Joseph C. (2005)
      We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as ...