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J. W. Rice, “Cousin Complexes and Resolutions of Representations,” In: M. Eastwood, J. Wolf and R. Zierau Eds., The Penrose Transform and Analytic Cohomology in Representation Theory, Vol. 154, 1993. doi:10.1090/conm/154/01364

has been cited by the following article:

  • TITLE: Penrose Transform on Induced DG/H-Modules and Their Moduli Stacks in the Field Theory

    AUTHORS: Francisco Bulnes

    KEYWORDS: Penrose Transform; Coherent G-Quasi-Equivariant D-Modules; Hecke Sheaf; Moduli Stacks; Moduli Spaces

    JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.2, March 5, 2013

    ABSTRACT: We consider generalizations of the Radon-Schmid transform on coherent DG/H-Modules, with the intention of obtaining the equivalence between geometric objects (vector bundles) and algebraic objects (D-Modules) characterizing conformal classes in the space-time that determine a space moduli [1] on coherent sheaves for the securing solutions in field theory [2]. In a major context, elements of derived categories like D-branes and heterotic strings are considered, and using the geometric Langlands program, a moduli space is obtained of equivalence between certain geometrical pictures (non-conformal world sheets [3]) and physical stacks (derived sheaves), that establishes equivalence between certain theories of super symmetries of field of a Penrose transform that generalizes the implications given by the Langlands program. With it we obtain extensions of a cohomology of integrals for a major class of field equations to corresponding Hecke category.