The extended moduli space of special Lagrangian submanifolds
S. A. Merkulov
Abstract
It is well known that the moduli space of all deformations of a compact special Lagrangian submanifold X in a Calabi-Yau manifold Y within the class of special Lagrangian submanifolds is isomorphic to the first de Rham cohomology group of X. Reinterpreting the embedding data X⊂ Y within the mathematical framework of the Batalin-Vilkovisky quantization, we find a natural deformation problem which extends the above moduli space to the full de Rham cohomology group of X.
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