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Crossing change maps in filtered grid homology

Published 7 Mar 2023 in math.GT | (2303.04227v1)

Abstract: We extend the crossing-change maps between grid complexes, defined by Ozsv\'ath-Szab\'o-Stipsicz, to filtered grid complexes and give a combinatorial formulation of the Alishahi-Eftekhary $\mathfrak{l}(K)$ knot invariant.

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