Cohomology rings of good contact toric manifolds

2010/12/10 by Shisen Luo, Luo, Shisen
Mathematics · #53D10 #53D20 #55N91 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #math.AT #math.SG #msc:53D10 #msc:53D20 #msc:55N91

paper · pdf · doi:10.48550/arxiv.1012.2146

29 pages

openalex publication_date 2010/12/10 · arxiv created 2012/06/26 · arxiv updated 2012/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Geodesic flows and contact toric manifolds
• Transversality theory, cobordisms, and invariants of symplectic quotients

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