论文标题
接壤的联系Instantons及其弗雷德霍尔姆理论和通用横向
Bordered contact instantons and their Fredholm theory and generic transversalities
论文作者
论文摘要
在本文中，我们首先建立了在边界穿刺附近有规定的渐近条件下定义的边界触点instantons的弗雷德霍尔姆理论。然后，我们证明了在Legendrian边界条件的扰动下的通用映射横向性。我们还建立了它们在CR几乎复杂结构和Legendrian边界条件的扰动下的模量空间的通用（0-JET）评估横向结果。这些是构造边界联系Instantons及其应用的模量空间的基本要素。
In this article, we first establish the Fredholm theory for the bordered contact instantons defined on the punctured Riemann surfaces with prescribed asymptotic condition near the boundary punctures. We then prove the generic mapping transversality under the perturbation of Legendrian boundary condition. We also establish their generic (0-jet) evaluation transversality results of their moduli space under the perturbations of CR almost complex structures and of Legendrian boundary conditions. These are fundamental ingredients of the construction of the moduli space of bordered contact instantons and their applications.
