论文标题
不可方向的4个manifolds的三分光
Trisections of non-orientable 4-manifolds
论文作者
论文摘要
我们研究平滑，紧凑的不可取向4个manifolds的三触角，并引入了具有边界的不可取向的4个manifolds的三触角。特别是，我们证明了劳登巴赫 - 佩纳鲁（Laudenbach-Poénaru）经典定理的不可取向类似物。结果，存在封闭的不可取向4个manifolds的三角图和柯比图。我们讨论了如何通过许多例子来适应不可定向的4个manifolds的设置。
We study trisections of smooth, compact non-orientable 4-manifolds, and introduce trisections of non-orientable 4-manifolds with boundary. In particular, we prove a non-orientable analogue of a classical theorem of Laudenbach-Poénaru. As a consequence, trisection diagrams and Kirby diagrams of closed non-orientable 4-manifolds exist. We discuss how the theory of trisections may be adapted to the setting of non-orientable 4-manifolds with many examples.
