Open Access
September 2015 Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold
Tobias Ekholm, Lenhard Ng
J. Differential Geom. 101(1): 67-157 (September 2015). DOI: 10.4310/jdg/1433975484


We give a combinatorial description of the Legendrian contact homology algebra associated to a Legendrian link in $S^1 \times S^2$ or any connected sum $\#^k(S^1\times S^2)$, viewed as the contact boundary of the Weinstein manifold obtained by attaching 1-handles to the 4-ball. In view of the surgery formula for symplectic homology, this gives a combinatorial description of the symplectic homology of any 4-dimensional Weinstein manifold (and of the linearized contact homology of its boundary). We also study examples and discuss the invariance of the Legendrian homology algebra under deformations, from both the combinatorial and the analytical perspectives.


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Tobias Ekholm. Lenhard Ng. "Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold." J. Differential Geom. 101 (1) 67 - 157, September 2015.


Published: September 2015
First available in Project Euclid: 10 June 2015

zbMATH: 1333.57038
MathSciNet: MR3356070
Digital Object Identifier: 10.4310/jdg/1433975484

Rights: Copyright © 2015 Lehigh University

Vol.101 • No. 1 • September 2015
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