Links of Gorenstein toric isolated singularities are good toric contact 
manifolds with zero first Chern class. In this talk I will present some 
results relating contact and singularity invariants in this particular 
toric context. Namely, 
(i) I will explain why the contact mean Euler characteristic is equal 
to the Euler characteristic of any crepant toric smooth resolution of 
the singularity (joint work with Leonardo Macarini). 
(ii) I will discuss applications of contact invariants of Lens spaces 
that arise as links of Gorenstein cyclic quotient singularities (joint 
work with Leonardo Macarini and Miguel Moreira).