Torsion in linearized contact homology for Legendrian knots
Publication
, Journal Article
Lipshitz, R; Ng, L
August 25, 2023
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.
Duke Scholars
Publication Date
August 25, 2023
Citation
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Lipshitz, R., & Ng, L. (2023). Torsion in linearized contact homology for Legendrian knots.
Lipshitz, Robert, and Lenhard Ng. “Torsion in linearized contact homology for Legendrian knots,” August 25, 2023.
Lipshitz R, Ng L. Torsion in linearized contact homology for Legendrian knots. 2023 Aug 25;
Lipshitz, Robert, and Lenhard Ng. Torsion in linearized contact homology for Legendrian knots. Aug. 2023.
Lipshitz R, Ng L. Torsion in linearized contact homology for Legendrian knots. 2023 Aug 25;
Publication Date
August 25, 2023