Localization and the Floer homology of strongly invertible knots

Aakash Parikh

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arXiv · 2408.13892

Localization and the Floer homology of strongly invertible knots

Aakash Parikh

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Abstract

We establish two spectral sequences in knot Floer homology associated to a directed strongly invertible knot K. The first is from the knot Floer homology of K to the Heegaard Floer homology of the three sphere. The second is from the singular knot Floer homology of a singular knot associated to K to the knot Floer homology of the quotient knot of K.

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Aakash Parikh. 2024-08-25. Localization and the Floer homology of strongly invertible knots. https://arxiv.org/abs/2408.13892

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