Equivariant concordance invariance of the Maslov grading invariant

Let (K~,τ)(\widetilde{K},\tau) be a strongly invertible knot. Define sτs_\tau to be the Maslov grading of the Alexander grading 00 generator that generates the F2\mathbb{F}_2 of the EE_\infty page in the spectral sequence of Theorem 1.

Equivariant concordance conjecture. The number sτs_\tau is an equivariant concordance invariant.

This conjecture would promote the spectral-sequence grading invariant to an invariant of equivariant concordance classes. The source says that computations for non-δ\delta-thin strongly invertible knots are intended for future work; no resolution is given here.

Sources & referencesView supporting material

Primary source

Aakash Parikh, “Localization and the Floer homology of strongly invertible knots”, arXiv:2408.13892 (2024).

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