Contact toric manifolds

2001/07/27 by Eugene Lerman, Lerman, Eugene · 2 citations
Mathematics · #53D10 #53D25 #Advanced Combinatorial Mathematics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:14M25 #msc:53D10 #msc:53D25 #secondary 14M25

paper · pdf · doi:10.48550/arxiv.math/0107201

LaTeX 2e, 25 pages. (v2) small changes

openalex publication_date 2001/07/27 · arxiv created 2002/01/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We complete the classification of compact connected contact toric manifolds initiated by Banyaga and Molino and by Galicki and Boyer. As an application we prove the conjectures of Toth and Zelditch on toric integrable systems on the n-torus and the 2-sphere.

Citations

• Symplectic toric orbifolds

Cited by

• Contour Integral for the Partition Function of N=2 Topologically Twisted on \mathbbCP² and Physical Fluxes
• The toric CR Yamabe problem

Related

• Introduction to contact complete integrability
• Geodesic flows and contact toric manifolds
• Contact 3-manifolds that admit a non-free toric action
• K-contact manifolds with minimal closed Reeb orbits
• Toric integrable geodesic flows