Combinatorial knot Floer homology and cyclic double branched covers

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

Using a Heegaard diagram for the pullback of a knot $K \subset S^3$ in its
cyclic double branched cover $\Sigma_2(K)$, we give a combinatorial proof for
the invariance of knot Floer homology over $\Z$.

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