论文标题
通过多重折叠的公开接触歧管的无填充性
Non-fillability of overtwisted contact manifolds via polyfolds
论文作者
论文摘要
我们证明，任何弱符合性填充的接触歧管都很紧。此外，我们还验证了强烈的韦恩斯坦猜想的接触歧管，这些构想似乎是定向的符号恢复的凹面边界，其正边界满足了弱填充条件并已被超越。在有边界的《传说》公开书籍的存在下，其具有约束力的汇编消失了第二个Stiefel-Whitney班级，也获得了类似的结果。结果是通过多窝获得的。
We prove that any weakly symplectically fillable contact manifold is tight. Furthermore we verify the strong Weinstein conjecture for contact manifolds that appear as the concave boundary of a directed symplectic cobordism whose positive boundary satisfies the weak-filling condition and is overtwisted. Similar results are obtained in the presence of bordered Legendrian open books whose binding-complement has vanishing second Stiefel-Whitney class. The results are obtained via polyfolds.
