6 citations · 15 across the 5 of their papers we have counts for
5 papers
Generalized theta functions, projectively flat vector bundles and noncommutative tori
Maximiliano Sandoval, Mauro Spera
In this paper, the well-known relationship between theta functions and Heisenberg group actions thereon is resumed by combining complex algebraic and noncommutative geometric techn…
The noncommutative geometry of the Landau Hamiltonian: Differential aspects
Giuseppe De Nittis, Maximiliano Sandoval
In this work we study the differential aspects of the noncommutative geometry for the magnetic -algebra which is a 2-cocycle deformation of the group -algebra of $\mathbb…
Pseudo-differential operators associated to general type I locally compact groups
M. Mantoiu, M. Sandoval
In a recent paper by M. Mantoiu and M. Ruzhansky, a global pseudo-differential calculus has been developed for unimodular groups of type I. In the present article we generalize the…
The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects
Giuseppe De Nittis, Maximiliano Sandoval
This work provides a first step towards the construction of a noncommutative geometry for the quantum Hall effect in the continuum. Taking inspiration from the ideas developed by B…
Global and Concrete Quantizations on General Type I Groups
M. Mantoiu, M. Sandoval
In recent papers and books, a global quantization has been developed for unimodular groups of type I. It involves operator-valued symbols defined on the product between the group $…