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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Received: 29 June 1998 / Accepted: 7 June 1999
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Merkulov, S. The Extended Moduli Space of¶Special Lagrangian Submanifolds. Comm Math Phys 209, 13–27 (2000). https://doi.org/10.1007/s002200050013
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DOI: https://doi.org/10.1007/s002200050013