Using the covering involution on the double branched cover of $$S^3$$ S 3 branched along a knot, and adapting ideas of Hendricks–Manolescu and Hendricks–Hom–Lidman, we define new knot (concordance) invariants and apply them to deduce novel linear independence results in the smooth concordance group of knots.

中文翻译：

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覆盖对合的连通 Floer 同源性

使用沿结分支的 $$S^3$$ S 3 的双分支覆盖上的覆盖对合，并采用 Hendricks-Manolescu 和 Hendricks-Hom-Lidman 的思想，我们定义了新的结（一致性）不变量并将它们应用于推导出新的线性独立性导致结的平滑一致性组。