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Title:
The branched deformations of special Lagrangian submanifolds
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Abstract:
Special Lagrangian submanifolds are a distinguished class of real minimal submanifolds defined in a Calabi-Yau manifold, which is calibrated by the real part of the holomorphic volume form. Given a compact, smooth special Lagrangian submanifold, Mclean proved that the space of nearby special Lagrangian submanifolds of it could be parametrized by the harmonic 1-forms. In this talk, we will discuss some recent progress on generalizing Mclean’s result to the branched deformations. We will describe how to use multi-valued harmonic functions to construct branched nearby deformations.
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