A local systolic-diastolic inequality in contact and symplectic geometry

Gabriele Benedetti, Jungsoo Kang

Let $\Sigma$ be a connected closed three-manifold, and let $t_{\Sigma }$ be the order of the torsion subgroup of $H_1(\Sigma ;\mathbb{Z})$. For a contact form $\alpha$ on $\Sigma$, we denote by $\mathrm{Volume}…