Duality modules and Morita duality

Morita Duality and Large - N Limits

We study some dynamical aspects of gauge theories on noncommutative tori. We show that Morita duality, combined with the hypothesis of analyticity as a function of the non-commutativity parameter Θ, gives information about singular large-N limits of ordinary U (N) gauge theories, where the large-rank limit is correlated with the shrinking of a two-torus to zero size. We study some non-perturbat...

Isbell Duality for Modules

The purpose of this paper is to extend the results of [Barr et al. (2008), Section 8] from the case of abelian groups (Z-modules) to that of modules over a large class of not necessarily commutative rings.

Local Duality for Bigraded Modules

In this paper we study local cohomology of finitely generated bigraded modules over a standard bigraded ring with respect to the irrelevant bigraded ideals and establish a duality theorem. Several applications are considered.

Morita equivalence and T - duality ( or B versus

Local Duality and Polarized Hodge Modules

We find a relationship between the graded quotients of a filtered holonomic D-module, their duals as coherent sheaves, and the characteristic variety, in case the filtered D-module underlies a polarized Hodge module on a smooth algebraic variety. The proof is based on M. Saito’s result that the associated graded module is Cohen–Macaulay, and on local duality for the cotangent bundle. The result...