强反转结的局部性和弗洛尔同源性

arXiv - MATH - Geometric Topology Pub Date : 2024-08-25 DOI:arxiv-2408.13892

Aakash Parikh

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引用次数: 0

摘要

我们在与定向强可逆结 K 相关的结浮子同源性中建立了两个谱序列：一个是从 K 的结浮子同源性到二维向量空间，另一个是从与 K 相关的奇异结的奇异结浮子同源性到 K 的结浮子同源性商结。

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Localization and the Floer homology of strongly invertible knots

We establish two spectral sequences in knot Floer homology associated to a directed strongly invertible knot K: one from the knot Floer homology of K to a two dimensional vector space, and one from the singular knot Floer homology of a singular knot associated to K to the knot Floer homology quotient knot of K. The first of these spectral sequences is used to define a numerical invariant of strongly invertible knots.

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arXiv - MATH - Geometric Topology

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