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Polynomial invariants of singular knots and links
Journal Title
Journal of Knot Theory and Its Ramifications
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Publication Date
2021-02-25
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Publication Volume
30
Publication Issue
01
Publication Begin
2150003
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Abstract
We generalize the notion of the quandle polynomial to the case of singquandles. We show that the singquandle polynomial is an invariant of finite singquandles. We also construct a singular link invariant from the singquandle polynomial and show that this new singular link invariant generalizes the singquandle counting invariant. In particular, using the new polynomial invariant, we can distinguish singular links with the same singquandle counting invariant.
Citation
Ceniceros, J., Churchill, I.R., Elhamdadi, M. et al. Polynomial Invariants of Singular Knots and Links. Journal of Knot Theory and Its RamificationsVol. 30, No. 01, 2150003 (2021) https://doi.org/10.1142/S0218216521500036
Description
Electronic version of an article published as Journal of Knot Theory and Its Ramifications, Volume 30, Issue 1, 2021, 17 10.1142/S0218216521500036 © copyright World Scientific Publishing Company https://www.worldscientific.com/worldscinet/jktr