Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary
Differential Geometry
2009-02-04 v1 Geometric Topology
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.
Keywords
Cite
@article{arxiv.0902.0565,
title = {Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary},
author = {Sema Salur and Albert J. Todd},
journal= {arXiv preprint arXiv:0902.0565},
year = {2009}
}
Comments
16 pages, LaTex