Torsion in linearized contact homology for Legendrian knots

Authors

Lipshitz, R; Ng, L

Abstract

We present examples of Legendrian knots in $\mathbb{R}^3$ that have linearized Legendrian contact homology over $\mathbb{Z}$ containing torsion. As a consequence, we show that there exist augmentations of Legendrian knots over $\mathbb{Z}$ that are not induced by exact Lagrangian fillings, even though their mod $2$ reductions are.

Citation

Lipshitz, Robert, and Lenhard Ng. “Torsion in linearized contact homology for Legendrian knots.” Michigan Mathematical Journal, August 19, 2025. https://doi.org/10.1307/mmj/20236467.
Michigan Mathematical Journal

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