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The extended moduli space of special Lagrangian submanifolds

S. A. Merkulov
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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 $X\subset Y$ 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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S. A. Merkulov. 1998-06-22. The extended moduli space of special Lagrangian submanifolds. https://doi.org/10.1007/s002200050013

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