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F. Bulnes, “Integral Geometry and Complex Integral Operators Cohomology in Field Theory on Space-Time,” Proceedings of 1st International Congress of Applied Mathematics-UPVT, Government of State of Mexico, Mexico City, 2009, pp. 42-51.

has been cited by the following article:

• TITLE: Penrose Transform on D-Modules, Moduli Spaces and Field Theory

  AUTHORS: Francisco Bulnes

  KEYWORDS: Penrose Transform; Coherent D-Modules; Derived Sheaf; Moduli Space; Conformal Classes; Heterotic Strings

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.6, November 12, 2012

  ABSTRACT: We consider a generalization of the Radon-Schmid transform on coherent D-modules of sheaves of holomorphic complex bundles inside a moduli space, with the purpose of establishing the equivalences among geometric objects (vector bundles) and algebraic objects as they are the coherent D-modules, these last with the goal of obtaining conformal classes of connections of the holomorphic complex bundles. The class of these equivalences conforms a moduli space on coherent sheaves that define solutions in field theory. Also by this way, and using one generalization of the Penrose transform in the context of coherent D-modules we find conformal classes of the space-time that include the heterotic strings and branes geometry.