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Compactness for holomorphic curves with switching Lagrangian boundary conditions
LMU, Munich.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic. (Geometry/Topology)
Univ Hamburg.
2010 (English)In: The Journal of Symplectic Geometry, ISSN 1527-5256, E-ISSN 1540-2347, Vol. 8, no 3, 267-298 p.Article in journal (Refereed) Published
Abstract [en]

We prove a compactness result for holomorphic curves with boundary on an immersed Lagrangian submanifold with clean self-intersection. As an important consequence, we show that the number of intersections of such holomorphic curves with the self-intersection locus is uniformly bounded in terms of the Hofer energy.

Place, publisher, year, edition, pages
2010. Vol. 8, no 3, 267-298 p.
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-134230ISI: 000282232500002OAI: oai:DiVA.org:uu-134230DiVA: diva2:371846
Available from: 2010-11-23 Created: 2010-11-23 Last updated: 2017-12-12

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http://projecteuclid.org/euclid.jsg/1283865584

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Ekholm, Tobias

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