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arXiv · 0902.0565

Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary

Sema Salur·Albert J. Todd
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Abstract

Given an asymptotically cylindrical special Lagrangian submanifold L in an asymptotically cylindrical Calabi-Yau 3-fold X, we determine conditions on a decay rate gamma which make the moduli space of (local) special Lagrangian deformations of L in X a smooth manifold and show that it has dimension equal to the dimension of the image of H^1_{cs}(L,R) in H^1(L,R) under the natural inclusion map.

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Sema Salur, Albert J. Todd. 2009-02-03. Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary. https://arxiv.org/abs/0902.0565

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