Math @ Duke
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Publications [#372666] of Lenhard L. Ng
Papers Published
- Lipshitz, R; Ng, L, Torsion in linearized contact homology for Legendrian knots
(August, 2023)
(last updated on 2025/08/20)
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.
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