2019/12/01 by Mingyang Li, Li, Mingyang
Mathematics · #Advanced Combinatorial Mathematics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.DG #math.GT #math.SG
paper · pdf · doi:10.48550/arxiv.1912.00408
arxiv created 2019/12/01 · openalex publication_date 2019/12/01 · arxiv updated 2019/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In \citebtoric, Guillemin et al. proved a Delzant-type theorem which classifies b-symplectic toric manifolds. More generally, in \citetorus they proved a similar convexity result for general Hamiltonian torus action on b-symplectic manifolds. In this paper, we provide a new way to construct b-symplectic toric manifolds from usual toric manifolds. Conversely, through this way, we can also decompose a b-symplectic toric manifolds to usual toric manifolds. Finally, we will try to prove that this kind of decomposition is useful, although the symplectic structure for our decomposition or construction is not canonical.