论文标题
平面接触歧管的概括性概括到更高的维度
Generalizations of planar contact manifolds to higher dimensions
论文作者
论文摘要
迭代的平面接触歧管是对更高维度的三维平面接触歧管的概括。我们研究了迭代平面接触歧管的一些基本拓扑特性，并讨论了一些示例和构造，表明许多接触歧管是迭代的平面。我们还观察到，对于任何奇数M> 3，任何有限呈现的组都可以实现为某些迭代平面接触歧管的基本组。此外，我们介绍了我们称为投影的三维平面触点歧管的另一个概括。最后，通过开放书籍来建立符合性的恢复，我们表明某些投射触点歧管允许明确的符号盖。
Iterated planar contact manifolds are a generalization of three dimensional planar contact manifolds to higher dimensions. We study some basic topological properties of iterated planar contact manifolds and discuss several examples and constructions showing that many contact manifolds are iterated planar. We also observe that for any odd integer m > 3, any finitely presented group can be realized as the fundamental group of some iterated planar contact manifold of dimension m. Moreover, we introduce another generalization of three dimensional planar contact manifolds that we call projective. Finally, building symplectic cobordisms via open books, we show that some projective contact manifolds admit explicit symplectic caps.
