345 citations · 2.1k across the 80 of their papers we have counts for
12 papers · 1 filter
Lie Bi-Algebras on the Non-Commutative Torus
Giovanni Landi, S. G. Rajeev
Infinitesimal symmetries of a classical mechanical system are usually described by a Lie algebra acting on the phase space, preserving the Poisson brackets. We propose that a quant…
Solitons of general topological charge over noncommutative tori
Ludwik Dabrowski, Mads S. Jakobsen, Giovanni Landi +1
We continue the study of solitons over noncommutative tori from the perspective of time-frequency analysis and treat the case of a general topological charge. Solutions are associa…
Gauge transformations for twisted spectral triples
Giovanni Landi, Pierre Martinetti
We extend to twisted spectral triples the fluctuations of the metric, as well as their gauge transformations. The former are bounded perturbations of the Dirac operator that arise…
On twisting real spectral triples by algebra automorphisms
Giovanni Landi, Pierre Martinetti
We systematically investigate ways to twist a real spectral triple via an algebra automorphism and in particular, we naturally define a twisted partner for any real graded spectral…
Sigma-model solitons on noncommutative spaces
Ludwik Dabrowski, Giovanni Landi, Franz Luef
We use results from time-frequency analysis and Gabor analysis to construct new classes of sigma-model solitons over the Moyal plane and over noncommutative tori, taken as source s…
Moduli Spaces of Instantons on Toric Noncommutative Manifolds
Simon Brain, Giovanni Landi, Walter D. van Suijlekom
We study analytic aspects of U(n) gauge theory over a toric noncommutative manifold . We analyse moduli spaces of solutions to the self-dual Yang-Mills equations on U(2) vecto…