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arXiv · 1403.4982

Augmentations and Rulings of Legendrian Knots

C. Leverson
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Abstract

For any Legendrian knot in (R^3,ker(dz-ydx)), we show that the existence of an augmentation to any field of the Chekanov-Eliashberg differential graded algebra over Z[t,t^{-1}] is equivalent to the existence of a ruling of the front diagram, generalizing results of Fuchs, Ishkhanov, and Sabloff. We also show that any even graded augmentation must send t to -1.

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C. Leverson. 2014-03-19. Augmentations and Rulings of Legendrian Knots. https://arxiv.org/abs/1403.4982

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