Torsion in linearized contact homology for Legendrian knots
Publication
, Journal Article
Lipshitz, R; Ng, L
Published in: Michigan Mathematical Journal
August 19, 2025
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
Published In
Michigan Mathematical Journal
DOI
EISSN
1945-2365
ISSN
0026-2285
Publication Date
August 19, 2025
Publisher
Department of Mathematics
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Lipshitz, R., & Ng, L. (2025). Torsion in linearized contact homology for Legendrian knots. Michigan Mathematical Journal. https://doi.org/10.1307/mmj/20236467
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.
Lipshitz R, Ng L. Torsion in linearized contact homology for Legendrian knots. Michigan Mathematical Journal. 2025 Aug 19;
Lipshitz, Robert, and Lenhard Ng. “Torsion in linearized contact homology for Legendrian knots.” Michigan Mathematical Journal, Department of Mathematics, Aug. 2025. Manual, doi:10.1307/mmj/20236467.
Lipshitz R, Ng L. Torsion in linearized contact homology for Legendrian knots. Michigan Mathematical Journal. Department of Mathematics; 2025 Aug 19;
Published In
Michigan Mathematical Journal
DOI
EISSN
1945-2365
ISSN
0026-2285
Publication Date
August 19, 2025
Publisher
Department of Mathematics
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics