标题： 12，24及更远 显示英文标题

标题： 12, 24 and Beyond

摘要： 我们将二维和三维可反射多面体的著名“12”和“24”定理推广到任何光滑可反射多面体。 我们的方法适用于更广泛的对象类别，这里称为可反射GKM图，它们与某些不一定允许环状作用的单调辛流形相关。 作为应用，我们提供了某些单调哈密顿空间的贝蒂数的界限，这些界限依赖于流形的最小陈类数。 显示英文摘要

摘要： We generalize the well-known "12" and "24" Theorems for reflexive polytopes of dimension 2 and 3 to any smooth reflexive polytope. Our methods apply to a wider category of objects, here called reflexive GKM graphs, that are associated with certain monotone symplectic manifolds which do not necessarily admit a toric action. As an application, we provide bounds on the Betti numbers for certain monotone Hamiltonian spaces which depend on the minimal Chern number of the manifold.