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Exact Lagrangian immersions with a single double point

dc.creatorEkholm, Tobias
dc.creatorSmith, Ivan
dc.date.accessioned2018-11-24T23:26:21Z
dc.date.available2015-02-16T14:15:35Z
dc.date.available2018-11-24T23:26:21Z
dc.date.issued2015-01-09
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/246791
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3813
dc.description.abstractWe 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.
dc.languageen
dc.publisherAmerican Mathematical Society
dc.titleExact Lagrangian immersions with a single double point
dc.typeWebpages


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