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

Hendricks, Kristen, Lidman, Tye, Lipshitz, Robert

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.

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