量子图的开放书类比

量子图在本世纪已成为数学家、数学物理学家和化学家的热门玩具, due to their manifold applications as models of thin structures, as well as presenting sometimes simpler playground for hard higher dimensional problems. 它们被用作薄结构的模型, 也是解决困难高维问题时更简单的玩具场所。从一些应用来看, thin surface structures (looking as stratified varieties) also arise, 例如在光子晶体理论和动力系统中。然而, both justification and studying of these models is much harder and very little progress has been made by now. 目标是为此类结构设定一些基本概念和结果。名称“open book”用于这种几何结构在拓扑学中的名称, 源于将多个光滑的n维“页面”绑定到(n-1)维“绑定”的图像。