Legendrian contact homology in the product of a punctured Riemann surface and the real line
(English)Manuscript (preprint) (Other academic)
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.
Research subject Mathematics
IdentifiersURN: urn:nbn:se:uu:diva-156750OAI: oai:DiVA.org:uu-156750DiVA: diva2:433145