Mathematics – Symplectic Geometry
Scientific paper
2004-07-05
J. Symplectic Geom. 2 (2005), no. 3, 411-443
Mathematics
Symplectic Geometry
31 pages, to appear in J. Symplectic Geom.; v2: minor corrections based on referee comments
Scientific paper
Differential graded algebra invariants are constructed for Legendrian links in the 1-jet space of the circle. In parallel to the theory for R^3, Poincare-Chekanov polynomials and characteristic algebras can be associated to such links. The theory is applied to distinguish various knots, as well as links that are closures of Legendrian versions of rational tangles. For a large number of two-component links, the Poincare-Chekanov polynomials agree with the polynomials defined through the theory of generating functions. Examples are given of knots and links which differ by an even number of horizontal flypes that have the same polynomials but distinct characteristic algebras. Results obtainable from a Legendrian satellite construction are compared to results obtainable from the DGA and generating function techniques.
Ng Lenhard
Traynor Lisa
No associations
LandOfFree
Legendrian solid-torus links does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Legendrian solid-torus links, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Legendrian solid-torus links will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-72940