Caubel, Nemethi, and Popescu-Pampu in  proved that an oriented 3-manifold admits at most one positive contact structure which can be realized as the complex tangency along the link of a complex surface singularity. They call it the Milnor fillable contact structure. Lekili and Ozbagci in  showed that a Milnor fillable contact structure is universally tight. In particular, by Honda's classification , the link of a cusp singularity is contactomorphic to the positive contact structure associated to the Anosov flow on a Sol-manifold (see ). We describe the contact structure on the link of a cusp singularity in two different ways without using Honda's classification theorem. One description is based on the toric method introduced in Mori . The other description is based on Hirzebruch's construction of the Hilbert modular cusps. Consequently, we give certain answers to the problems in Mori  concerning the relation between the cusp singularities and the simple elliptic singularities, and the higher dimensional extension of the local Lutz-Mori twist.
"The Canonical Contact Structure on the Link of a Cusp Singularity." Tokyo J. Math. 37 (1) 1 - 20, June 2014. https://doi.org/10.3836/tjm/1406552427