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On the immersion classes of nearby Lagrangians
Columbia Univ, Dept Math, New York, NY 10027 USA.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.ORCID iD: 0000-0003-2618-5712
2016 (English)In: Journal of Topology, ISSN 1753-8416, E-ISSN 1753-8424, Vol. 9, no 1, 232-244 p.Article in journal (Refereed) PublishedText
Abstract [en]

We show that the transfer map on Floer homotopy types associated to an exact Lagrangian embedding is an equivalence. This provides an obstruction to representing isotopy classes of Lagrangian immersions by Lagrangian embeddings, which, unlike previous obstructions, is sensitive to information that cannot be detected by Floer cochains. We show this by providing a concrete computation in the case of spheres.

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2016. Vol. 9, no 1, 232-244 p.
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URN: urn:nbn:se:uu:diva-289160DOI: 10.1112/jtopol/jtv041ISI: 000372616600013OAI: oai:DiVA.org:uu-289160DiVA: diva2:924790
Available from: 2016-04-29 Created: 2016-04-29 Last updated: 2016-05-04Bibliographically approved

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Kragh, Thomas
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