论文标题
边界与圆环边界的成对缝合流形成
Bordered invariants of pairs of sutured manifolds with torus boundary
论文作者
论文摘要
我们建立了一个框架，将缝合歧管的不变性扩展到成对的缝合歧管，这些流形通过沿着圆环边界组件附加基本切片而有所不同。在（边界）缝合的浮子同源性的特殊情况下，我们表明，这恢复了相应边界截至的三元式的边界缝合的浮子同源性 - 尽管该框架足够广泛，以至于它应该适用于其他缝合流形的不变性的设置。
We establish a framework for extending invariants of sutured manifolds to invariants of pairs of sutured manifolds who differ by attaching a basic slice along a torus boundary component. In the particular case of (bordered-)sutured Floer homology we show that this recovers the bordered-sutured Floer homology of a corresponding bordered-sutured three-manifold - though the framework is broad enough that it should be applicable in the setting of other invariants of sutured manifolds.
