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Positive Legendrian Isotopies And Floer Theory
Univ Nantes, F-44035 Nantes 1, France.
Univ Nantes, F-44035 Nantes 1, France.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.ORCID iD: 0000-0003-4765-4979
2019 (English)In: Annales de l'Institut Fourier, ISSN 0373-0956, E-ISSN 1777-5310, Vol. 69, no 4, p. 1679-1737Article in journal (Refereed) Published
Abstract [en]

Positive loops of Legendrian embeddings are examined from the point of view of Floer homology of Lagrangian cobordisms. This leads to new obstructions to the existence of a positive loop containing a given Legendrian, expressed in terms of the Legendrian contact homology of the Legendrian submanifold. As applications, old and new examples of orderable contact manifolds are obtained and discussed. We also show that contact manifolds filled by a Liouville domain with non-zero symplectic homology are strongly orderable in the sense of Liu.

Place, publisher, year, edition, pages
2019. Vol. 69, no 4, p. 1679-1737
Keywords [en]
Legendrian, Floer, Positive isotopies
National Category
Geometry
Identifiers
URN: urn:nbn:se:uu:diva-395625DOI: 10.5802/aif.3279ISI: 000486298300005OAI: oai:DiVA.org:uu-395625DiVA, id: diva2:1362916
Funder
EU, European Research Council, KAW 2013.0321EU, European Research Council, KAW 2016.0446Knut and Alice Wallenberg FoundationAvailable from: 2019-10-22 Created: 2019-10-22 Last updated: 2019-10-22Bibliographically approved

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