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Torsion in linearized contact homology for Legendrian knots (2308.13482v2)

Published 25 Aug 2023 in math.SG and math.GT

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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