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arXiv · 2609.00285

Multicrossing complex of knot and secant classes

Igor Nikonov
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Abstract

The multicrossing homology of a knot can be considered as a generalization of the homology of its fundamental quandle. We show that certain sums of knot secants define invariant classes in the multicrossing homology.

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Igor Nikonov. 2026-08-31. Multicrossing complex of knot and secant classes. https://arxiv.org/abs/2609.00285

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