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Geometry-Topology Seminar

Thursday, November 16, 2006 - 4:30pm

Josh Sabloff

Haverford College and University of Pennsylvania

Location

University of Pennsylvania

4C8

I will discuss a connection between two types of "non-classical" invariants of Legendrian knots, namely those derived from holomorphic curves and those derived from generating families. More specifically, I shall describe how the existence of a ruling of a Legendrian knot is equivalent to the existence of an augmentation of its Legendrian contact homology, and how one can count the number of augmentations from the number of rulings.