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arXiv · 1111.5932

Exact Lagrangian immersions with a single double point

Tobias Ekholm·Ivan Smith
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Abstract

Let k > 2. We show that if a closed orientable 2k-manifold K, with Euler characteristic not equal to -2, admits an exact Lagrangian immersion into complex Euclidean 2k-space with one transverse double point and no other self-intersections, then K is diffeomorphic to the standard sphere. The proof combines Floer homological arguments with a detailed study of moduli spaces of holomorphic disks with boundary in a monotone Lagrangian submanifold obtained by Lagrange surgery on K.

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Tobias Ekholm, Ivan Smith. 2011-11-25. Exact Lagrangian immersions with a single double point. https://arxiv.org/abs/1111.5932

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