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arXiv · 1910.07114

Cylindrical contact homology of 3-dimensional Brieskorn manifolds

Sebastian Haney·Thomas E. Mark
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Abstract

Cylindrical contact homology is a comparatively simple incarnation of symplectic field theory whose existence and invariance under suitable hypotheses was recently established by Hutchings and Nelson. We study this invariant for a general Brieskorn 3-manifold $\Sigma(a_1,\ldots, a_n)$, and give a complete description of the cylindrical contact homology for this 3-manifold equipped with its natural contact structure, for any $a_j$ satisfying $\frac{1}{a_1} + \cdots + \frac{1}{a_n} < n-2$.

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BibTeXRIS

Sebastian Haney, Thomas E. Mark. 2019-10-16. Cylindrical contact homology of 3-dimensional Brieskorn manifolds. https://doi.org/10.2140/agt.2022.22.153

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