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Special Lagrangians, stable bundles and mean curvature flow

Richard P Thomas Shing-Tung Yau

Differential Geometry mathscidoc:1912.43494

arXiv preprint math/0104197, 2001.4
We make a conjecture about mean curvature flow of Lagrangian submanifolds of Calabi-Yau manifolds, expanding on\cite {Th}. We give new results about the stability condition, and propose a Jordan-Hlder-type decomposition of (special) Lagrangians. The main results are the uniqueness of special Lagrangians in hamiltonian deformation classes of Lagrangians, under mild conditions, and a proof of the conjecture in some cases with symmetry: mean curvature flow converging to Shapere-Vafa's examples of SLags.
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@inproceedings{richard2001special,
  title={Special Lagrangians, stable bundles and mean curvature flow},
  author={Richard P Thomas, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203607205103058},
  booktitle={arXiv preprint math/0104197},
  year={2001},
}
Richard P Thomas, and Shing-Tung Yau. Special Lagrangians, stable bundles and mean curvature flow. 2001. In arXiv preprint math/0104197. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203607205103058.
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