The correspondence between augmentations and rulings for Legendrian knots

Lenhard Ng, Joshua Sabloff

Type: Article

Publication Date: 2006-03-01

Citations: 28

DOI: https://doi.org/10.2140/pjm.2006.224.141

Abstract

We strengthen the link between holomorphic and generating-function invariants of Legendrian knots by establishing a formula relating the number of augmentations of a knot's contact homology to the complete ruling invariant of Chekanov and Pushkar.

Locations

Pacific Journal of Mathematics - View - PDF
arXiv (Cornell University) - View - PDF

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+	Invariants of Legendrian Knots and Decompositions of Front Diagrams	2004	Dmitry Fuchs T. Ishkhanov
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