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arXiv · 0810.5654

Lagrangian Floer theory on compact toric manifolds II : Bulk deformations

Kenji Fukaya·Yong-Geun Oh·Hiroshi Ohta·Kaoru Ono
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Abstract

This is a continuation of part I in the series of the papers on Lagrangian Floer theory on toric manifolds. Using the deformations of Floer cohomology by the ambient cycles, which we call bulk deformations, we find a continuum of non-displaceable Lagrangian fibers on some compact toric manifolds. We also provide a method of finding all fibers with non-vanishing Floer cohomology with bulk deformations in arbitrary compact toric manifolds, which we call bulk-balanced Lagrangian fibers.

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Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono. 2011-03-05. Lagrangian Floer theory on compact toric manifolds II : Bulk deformations. https://arxiv.org/abs/0810.5654

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