Vol. 224, No. 1, 2006
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The correspondence between augmentations and rulings for Legendrian knots

Lenhard L. Ng & Joshua M. Sabloff

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.
Keywords

Legendrian knots, generating functions, contact homology, augmentations

Mathematical Subject Classification

Primary: 57R17

Secondary: 53D40, 57M25
Authors
Lenhard L. Ng
Department of Mathematics
Stanford University
450 Serra Mall, Bldg. 380
Stanford, CA 94305
United States
Joshua M. Sabloff
Department of Mathematics
Haverford College
370 Lancaster Ave.
Haverford, PA 19041
United States