标题： 带有手柄滑动的缝合图的环 显示英文标题

标题： Loops of handleslides for sutured diagrams

摘要： 我们证明，当附加六种类型的2-单元时，带有顶点表示切割系统、边对应手柄滑动的刻痕压缩体的切割系统复形变为单连通的。 此外，我们定义了紧致Heegaard不变量，并证明每个都可以唯一地扩展为强Heegaard不变量。 这为证明与刻痕流形相关的Floer同调理论的自然性结果提供了一个新框架。 显示英文摘要

摘要： We prove that the cut-system complex of a sutured compression body, with vertices representing cut-systems and edges corresponding to handleslides, becomes simply connected when six kinds of 2-cells are attached. Moreover, we define tight Heegaard invariants and show that each admits a unique extension to a strong Heegaard invariant. This gives a new framework for proving naturality results for Floer homology theories associated to sutured manifolds.