PreprintCC BY 4.0arXiv
Multicrossing complex of knot and secant classes
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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BibTeX
@misc{nikonov2026multicrossing,
title = {{Multicrossing complex of knot and secant classes}},
author = {Igor Nikonov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00285},
eprint = {2609.00285},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00285},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Multicrossing complex of knot and secant classes
AU - Igor Nikonov
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.00285
UR - https://arxiv.org/abs/2609.00285
AB - 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.
ER -