实Heegaard Floer理论中的自然性
Naturality in real Heegaard Floer theory
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中文总结 AI 辅助
本文证明了实Heegaard Floer同调、实纽结Floer同调及实缝合Floer同调的自然性，还定义了对合实Heegaard Floer同调，补充了相关理论性质。
中文摘要 AI 辅助
在之前的论文中，我们定义了带对合的三维流形的不变量——实Heegaard Floer同调。本文证明实Heegaard Floer同调具有自然性，且可容许等变映射类群的作用；同时确立了实纽结Floer同调与实缝合Floer同调的自然性，并给出了对合实Heegaard Floer同调的定义。
英文摘要
In a previous paper we defined real Heegaard Floer homology, an invariant of three-manifolds equipped with involutions. Here we prove that real Heegaard Floer homology is natural, and that it admits an action of the equivariant mapping class group. We also establish naturality of real link Floer homology and real sutured Floer homology, and give a definition of involutive real Heegaard Floer homology.
