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Special Lagrangians of cohomogeneity one in the resolved conifold

Marianty Ionel·Maung Min-Oo
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Abstract

In this paper, which is a natural continuation of our previous paper math.DG/0504557, we describe some special Lagrangians of cohomogeneity one in the resolved conifold. Our main result gives a foliation of the resolved conifold by T^2-invariant special Lagrangians, where the generic leaf is topologically T^2 X R. We also obtain a family of SO(3)-invariant special Lagrangians. These special Lagrangian families in both the deformed and the resolved conifold approach asymptotically the same special Lagrangian cones in the conifold.

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Marianty Ionel, Maung Min-Oo. 2005-06-16. Special Lagrangians of cohomogeneity one in the resolved conifold. https://arxiv.org/abs/math/0506340

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