Invariants of Legendrian Knots and Coherent Orientations

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dc.creatorEtnyre, John B.
dc.creatorNg, Lenhard L.
dc.creatorSabloff, Joshua M.
dc.date2001-01-17
dc.date2003-12-19
dc.date.accessioned2026-07-07T04:39:42Z
dc.date.available2026-07-07T04:39:42Z
dc.descriptionWe provide a translation between Chekanov's combinatorial theory for invariants of Legendrian knots in the standard contact R^3 and a relative version of Eliashberg and Hofer's Contact Homology. We use this translation to transport the idea of ``coherent orientations'' from the Contact Homology world to Chekanov's combinatorial setting. As a result, we obtain a lifting of Chekanov's differential graded algebra invariant to an algebra over Z[t,t^{-1}] with a full Z grading.
dc.description32 pages, 17 figures; small technical corrections to proof of Thm 3.7 and example 4.3
dc.identifierhttps://arxiv.org/abs/math/0101145
dc.identifierhttp://arxiv.org/abs/math/0101145
dc.identifierJ. Symplectic Geom. 1 (2002), 321-367
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60774
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject57R17; 53D12, 53D40, 57M25
dc.titleInvariants of Legendrian Knots and Coherent Orientations
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