Cohomology rings of good contact toric manifolds

Abstract

A good contact toric manifold $M$ is determined by its moment cone $C$. We compute the equivariant cohomology ring with $\mathbb{Z}$ coefficient of $M$ in terms of the combinatorial data of $C$. Then under a smoothness criterion on the cone $C$, we compute the singular cohomology ring with $\mathbb{Z}$ coefficient of $M$ in terms of the combinatorial data of $C$.

29 pages

References in corpus (3)

• Contact homology of good toric contact manifolds
• A remark on the Hard Lefschetz Theorem for Kähler orbifolds
• Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds

Cited by in corpus (5)

• Moment Angle Complexes and Big Cohen-Macaulayness
• Simply Connected Manifolds with Infinitely Many Toric Contact Structures and Constant Scalar Curvature Sasaki Metrics
• The fundamental group and Betti numbers of toric origami manifolds
• Equivariant cohomology of K-contact manifolds
• Disjoinable Lagrangian tori and semisimple symplectic cohomology