# Legendrian contact homology for attaching links in higher dimensional subcritical Weinstein manifolds

@article{Karlsson2020LegendrianCH, title={Legendrian contact homology for attaching links in higher dimensional subcritical Weinstein manifolds}, author={Cecilia Karlsson}, journal={arXiv: Symplectic Geometry}, year={2020} }

Let $\Lambda$ be a link of Legendrian spheres in the boundary of a subcritical Weinstein manifold $X$. We show that the computation of the Legendrian contact homology of $\Lambda$ can be reduced to a computation of Legendrian contact homology in 1--jet spaces. Since the Legendrian contact homology in 1-jet spaces is well studied, this gives a simplified way to compute the Legendrian contact homology of $\Lambda$. We restrict to the case when the attaching spheres of the subcritical handles of…

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