An algebraic generalization of Giroux's criterion

We compute the contact homology algebra of a neighborhood $(\mathbb{R}_τ \times W, ξ)$ of a convex hypersurface $W$ and determine when this algebra is zero or non-zero. Thus we provide a tool for inferring the tightness of such $ξ$ for $W$ of any even dimension. In more detail, consider the augmenta