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arXiv:1009.1083 [math.DG]AbstractReferencesReviewsResources

Finite Time Singularities for Lagrangian Mean Curvature Flow

André Neves

Published 2010-09-06, updated 2012-05-07Version 3

Given any embedded Lagrangian on a four dimensional compact Calabi-Yau, we find another Lagrangian in the same Hamiltonian isotopy class which develops a finite time singularity under mean curvature flow. This contradicts a weaker version of the Thomas-Yau conjecture regarding long time existence and convergence of Lagrangian mean curvature flow.

Comments: Final version, to appear in Annals of Mathematics. Exposition improved. 46 pages
Categories: math.DG, math.AP, math.SG
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