Results 21 to 30 of about 3,211 (69)

Constraints on Unified Gauge Theories from Noncommutative Geometry [PDF]

, 1996
The Connes and Lott reformulation of the strong and electroweak model represents a promising application of noncommutative geometry. In this scheme the Higgs field naturally appears in the theory as a particular `gauge boson', connected to the discrete ...
Lizzi, F., Mangano, G., Miele, G., Sparano, G.   +3 more
core   +2 more sources

Horoballs in simplices and Minkowski spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
We obtain precise descriptions of all horoballs for Hilbert′s geometry on simplices and for normed finite‐dimensional vector spaces with norm given by some polyhedron. Certain geometrical consequences are deduced and several other applications are pointed out, which concern the dynamics of important classes of nonlinear self‐maps of convex cones.
A. Karlsson, V. Metz, G. A. Noskov
wiley   +1 more source

Transfers for ramified covering maps in homology and cohomology

International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
Making use of a modified version, due to McCord, of the Dold‐Thom construction of ordinary homology, we give a simple topological definition of a transfer for ramified covering maps in homology with arbitrary coefficients. The transfer is induced by a suitable map between topological groups. We also define a new cohomology transfer which is dual to the
Marcelo A. Aguilar, Carlos Prieto
wiley   +1 more source

Forces from noncommutative geometry [PDF]

, 2001
Einstein derived general relativity from Riemannian geometry. Connes extends this derivation to noncommutative geometry and obtains electro-magnetic, weak and strong forces.
Schucker, T.
core   +3 more sources

The Baum‐Connes conjecture, noncommutative Poincaré duality, and the boundary of the free group

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 38, Page 2425-2445, 2003., 2003
For every hyperbolic group Γ with Gromov boundary ∂Γ, one can form the cross product C∗‐algebra C(∂Γ)⋊Γ. For each such algebra, we construct a canonical K‐homology class. This class induces a Poincaré duality map K∗(C(∂Γ)⋊Γ) → K∗+1(C(∂Γ)⋊Γ). We show that this map is an isomorphism in the case of Γ = 𝔽2, the free group on two generators.
Heath Emerson
wiley   +1 more source

Spectral action and big desert [PDF]

, 2006
The values of the Higgs mass are obtained for two possibilities of extending the standard model in a way compatible with the existence of a noncommutative structure at high energies.
Appelquist, Bennett, Cabibbo, Carminati, Chamseddine, Chamseddine, Connes, Connes, Connes, Connes, Connes, Connes, Connes, Connes, Fargion, Filk, Gayral, Gayral, Gayral, Gayral, Georgi, Grosse, Grosse, Iochum, Jureit, Jureit, Jureit, Khlopov, Krajewski, Krajewski, Krajewski, Lautrup, Lazzarini, Machacek, Machacek, Machacek, Marc Knecht, Martín, Moyal, Paschke, Petermann, Rivasseau, Schücker, Stephan, Suura, Thomas Schücker, Várilly, Álvarez, Álvarez   +48 more
core   +4 more sources

Nonassociative algebras: a framework for differential geometry

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 60, Page 3777-3795, 2003., 2003
A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection. Its elements are interpreted as vector fields and its multiplication is interpreted as a connection. This provides a framework for differential geometry on a formal manifold with a formal connection. A
Lucian M. Ionescu
wiley   +1 more source

The Noncommutative Constraints on the Standard Model \`a la Connes

, 1996
Noncommutative geometry applied to the standard model of electroweak and strong interactions was shown to produce fuzzy relations among masses and gauge couplings.
Carminati, Lionel, Iochum, Bruno, Schucker, Thomas   +2 more
core   +1 more source

Lajos Takács and his work

International Journal of Stochastic Analysis, Volume 7, Issue 3, Page 215-237, 1994., 1994
This paper, written in honor of the 70th birthday of Lajos Takács, addresses his life and work, and includes some personal observations and appreciation of his contributions. In particular, it includes a short biography, an informal discussion of some of his major research areas (queueing, fluctuations, waiting time processes, and random rooted trees),
Jewgeni H. Dshalalow, Ryszard Syski
wiley   +1 more source

Noncommutative Geometry: Calculation of the Standard Model Lagrangian [PDF]

, 2001
The calculation of the standard model Lagrangian of classical field theory within the framework of noncommutative geometry is sketched using a variant with 18 parameters.
Elsner, Karen
core   +3 more sources