Characteristic Cycles Integration on $D$-Modules to obtaining of Field Equations solutions on $\mathbb{L}$- Holomorphic Bundles

# Characteristic Cycles Integration on $D$-Modules to obtaining of Field Equations solutions on $\mathbb{L}$- Holomorphic Bundles

Abstract: Considering certain derived categories on coherent $D$- modules is constructed a moduli space of equivalences between objects of a complex holomorphic bundle and a sheaf of coherent $D$- modules, which are determined for a generalized Penrose transform in the derived categories level, whose images are Hecke categories on  $\mathbb{L}$- holomorphic bundles. These co-cycles represent solutions of the field equations where a particular case are the massless field equations with different heliticies $h(k)$.

Keywords: Coherent $D$- Modules, Hecke Categories, Integration on Characteristics Cycles, $\mathbb{L}$- Holomorphic Bundles, Moduli Space.

Francisco Bulnes, Characteristic Cycles Integration on $D$-Modules to obtaining of Field Equations solutions on $\mathbb{L}$- Holomorphic Bundles, International Journal of Advances in Mathematics, Volume 2019, Number 4, Pages 1-17, 2019.