On the Mean Euler Characteristic of Gorenstein Toric Contact Manifolds
On the Mean Euler Characteristic of Gorenstein Toric Contact Manifolds
Abstract We prove that the mean Euler characteristic of a Gorenstein toric contact manifold, that is, a good toric contact manifold with zero 1st Chern class, is equal to half the normalized volume of the corresponding toric diagram and give some applications. A particularly interesting one, obtained using a result …