论文标题

涉及Heegaard Floer同源性的自然和功能

Naturality and functoriality in involutive Heegaard Floer homology

论文作者

Hendricks, Kristen, Hom, Jennifer, Stoffregen, Matthew, Zemke, Ian

论文摘要

我们证明了涉及Heegaard Floer同源性的一阶自然性,此外,在与三个manifolds之间的COBORDISS相关的参与Heegaard Floer同源性上构建了明确定义的地图。我们还证明了针对结和链接的涉及浮子理论的类似自然性和功能性结果。证明依赖于加倍模型以及几种变化。

We prove first-order naturality of involutive Heegaard Floer homology, and furthermore construct well-defined maps on involutive Heegaard Floer homology associated to cobordisms between three-manifolds. We also prove analogous naturality and functoriality results for involutive Floer theory for knots and links. The proof relies on the doubling model for the involution, as well as several variations.

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