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Constructing exact Lagrangian immersions with few double points
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2013 (English)In: Geometric and Functional Analysis, ISSN 1016-443X, E-ISSN 1420-8970, Vol. 23, no 6, 1772-1803 p.Article in journal (Refereed) Published
Abstract [en]

We establish, as an application of the results from Eliashberg and Murphy (Lagrangian caps,2013), an h-principle for exact Lagrangian immersions with transverse self-intersections and the minimal, or near-minimal number of double points. One corollary of our result is that any orientable closed 3-manifold admits an exact Lagrangian immersion into standard symplectic 6-space with exactly one transverse double point. Our construction also yields a Lagrangian embedding S1×S2→R6 with vanishing Maslov class.

Place, publisher, year, edition, pages
2013. Vol. 23, no 6, 1772-1803 p.
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URN: urn:nbn:se:uu:diva-211810DOI: 10.1007/s00039-013-0243-6ISI: 000328206000003OAI: oai:DiVA.org:uu-211810DiVA: diva2:669173
Knut and Alice Wallenberg FoundationSwedish Research Council, 2012-2365
Available from: 2013-12-03 Created: 2013-12-02 Last updated: 2014-01-07Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.1007/s00039-013-0243-6

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Ekholm, Tobias
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