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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)
(English)Manuscript (preprint) (Other academic)
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.

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URN: urn:nbn:se:uu:diva-156750OAI: oai:DiVA.org:uu-156750DiVA: diva2:433145
SubmittedAvailable from: 2011-08-09 Created: 2011-08-09 Last updated: 2012-02-16

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Björklund, Johan
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Algebra and Geometry

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