论文标题
接触表格和操作选择函数的强大关闭属性
Strong closing property of contact forms and action selecting functors
论文作者
论文摘要
我们介绍了一个强大的接触表格属性的概念，灵感来自于$ c^\ infty $ closing lemma在第三维中的Reeb流动。然后，我们证明了一个足够的标准，可以通过考虑来自一类带有接触形式的歧管形式到一类滤波的向量空间的歧管的函数来提出的。作为该标准的潜在应用，我们提出了一个猜想，该猜想说在任何符号椭圆形的边界上的标准接触形式都满足了强大的闭合性能。
We introduce a notion of strong closing property of contact forms, inspired by the $C^\infty$ closing lemma for Reeb flows in dimension three. We then prove a sufficient criterion for strong closing property, which is formulated by considering a monoidal functor from a category of manifolds with contact forms to a category of filtered vector spaces. As a potential application of this criterion, we propose a conjecture which says that a standard contact form on the boundary of any symplectic ellipsoid satisfies strong closing property.
