Cohomology rings of good contact toric manifolds

Details Cohomology rings of good contact toric manifolds Cohomology rings of good contact toric manifolds

2010-12-10

arxiv.org/abs/1012.2146v2

Mathematics

Symplectic Geometry

34 pages

Scientific paper

A good contact toric manifold $M$ is determined by its moment cone $C$. We
compute the equivariant cohomology ring with $\Z$ 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 $\Z$ coefficient of $M$ in
terms of the combinatorial data of $C$.

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