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Legendrian contact homology in the product of a punctured Riemann surface and the real line
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry. (Topology)
2016 (English)In: Journal of the London Mathematical Society, ISSN 0024-6107, E-ISSN 1469-7750, Vol. 94, no 3, 970-992 p.Article in journal (Refereed) Published
Abstract [en]

We give a combinatorial description of the Legendrian differential graded algebra associated to a Legendrian knot in PxR, where P is a punctured Riemann surface. As an application we show that for any integer k and any homology class h in H_1(PxR) there are k Legendrian knots all representing h which are pairwise smoothly isotopic through a formal Legendrian isotopy but which lie in mutually distinct Legendrian isotopy classes.

Place, publisher, year, edition, pages
2016. Vol. 94, no 3, 970-992 p.
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-156750DOI: 10.1112/jlms/jdw066ISI: 000392842700014OAI: oai:DiVA.org:uu-156750DiVA: diva2:433145
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Available from: 2011-08-09 Created: 2011-08-09 Last updated: 2017-06-30Bibliographically approved

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Björklund, Johan

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