Bulnes, F. (2013) Geometrical Langlands Ramifications and Differential Operators Classification by Coherent D-Modules in Field Theory. Journal of Mathematics and System Sciences, 3, 491-507.

has been cited by the following article:

• TITLE: Framework of Penrose Transforms on DP-Modules to the Electromagnetic Carpet of the Space-Time from the Moduli Stacks Perspective

  AUTHORS: Francisco Bulnes

  KEYWORDS: Penrose Transform, Moduli Stack, Dp-Modules, Verma Modules, Field Theory, Electro-Dynamical Stacks

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.5, April 25, 2014

  ABSTRACT: Considering the different versions of the Penrose transform on D-modules and their applications to different levels of DM-modules in coherent sheaves, we obtain a geometrical re-construction of the electrodynamical carpet of the space-time, which is a direct consequence of the equivalence between the moduli spaces, that have been demonstrated in a before work. In this case, the equivalence is given by the Penrose transform on the quasi coherent Dλ-modules given by the generalized Verma modules diagram established in the Recillas conjecture to the group SO(1, n + 1), and consigned in the Dp-modules on which have been obtained solutions in field theory of electromagnetic type.