3 papers
math-ph2009
Spectral Distances: Results for Moyal Plane and Noncommutative Torus
Eric Cagnache, Jean-Christophe Wallet
The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non c…
hep-th2009
The spectral distance on the Moyal plane
Eric Cagnache, Francesco D'Andrea, Pierre Martinetti +1
We study the noncommutative geometry of the Moyal plane from a metric point of view. Starting from a non compact spectral triple based on the Moyal deformation A of the algebra of…
hep-th2008
Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus
Eric Cagnache, Thierry Masson, Jean-Christophe Wallet
Derivations of a noncommutative algebra can be used to construct differential calculi, the so-called derivation-based differential calculi. We apply this framework to a version of…