四维非奇异图流形
Non-singular graph-manifolds of dimension 4
摘要：
一个紧致四维流形是一个非奇异图流形，如果它可以通过在具有负欧拉示性数的紧致曲面（有边界）上粘接T^2-丛而得到。如果没有一个胶连同构是关于丛结构的，则称这个图结构是约化的。证明了具有约化非奇异图结构的闭定向4-流形的任何同伦等价都同伦于一个保结构的同胚。
英文摘要：
A compact 4-dimensional manifold is a non-singular graph-manifold if it can be obtained by the glueing T^2-bundles over compact surfaces (with boundary) of negative Euler characteristics. If none of glueing diffeomorphisms respect the bundle structures, the graph-structure is called reduced. We prove that any homotopy equivalence of closed oriented 4-manifolds with reduced nonsingular graph-structures is homotopic to a diffeomorphism preserving the structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
