论文标题
排名分支封面的Heegaard Floer同源性的不平等现象
Rank inequalities for the Heegaard Floer homology of branched covers
论文作者
论文摘要
鉴于沿着无效的链接分支的3个manifolds之间的双重覆盖,我们在其Heegaard Floer同源物的尺寸之间建立了不平等。我们讨论了与L空间猜想的关系,并提供了其他一些拓扑应用,以及缝合浮子同源性的类似结果。
Given a double cover between 3-manifolds branched along a nullhomologous link, we establish an inequality between the dimensions of their Heegaard Floer homologies. We discuss the relationship with the L-space conjecture and give some other topological applications, as well as an analogous result for sutured Floer homology.