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Legendrian Link Invariants
by
Caitlin Leverson
Duke University
Given a plane field dz-xdy in R3. A Legendrian knot is a knot which at every point is tangent to the plane at that point. One can similarly define a Legendrian knot in any contact 3-manifold (manifold with a plane field satisfying some conditions). In this talk, we will explore Legendrian knots in R3, J1(S1), and #k(S1×S2). In particular, we will look at the relationship between two Legendrian knot invariants, normal rulings and augmentations of the Chekanov-Eliashberg differential graded algebra. No knowledge of the Chekanov-Eliashberg DGA will be assumed.
Date received: February 17, 2016
Copyright © 2016 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbmk-04.