Exact Lagrangian immersions with a single double point
American Mathematical Society
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Ekholm, T., & Smith, I. (2015). Exact Lagrangian immersions with a single double point. [Webpages]. https://doi.org/10.1090/S0894-0347-2015-00825-6
We show that if a closed orientable 2k-manifold K, k > 2, with Euler characteristic χ(K) ≠ -2 admits an exact Lagrangian immersion into C2k with one transverse double point and no other self intersections, then K is diffeomorphic to the 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.
European Research Council (205349)
External DOI: https://doi.org/10.1090/S0894-0347-2015-00825-6
This record's URL: https://www.repository.cam.ac.uk/handle/1810/246791