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Singquandle shadows and singular knot invariants
Journal Title
Canadian Mathematical Bulletin
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Publication Date
2021-09-24
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1
Publication End
18
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Sinquandles.pdf
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Abstract
We introduce shadow structures for singular knot theory. Precisely, we define two invari- ants of singular knots and links. First, we introduce a notion of action of a singquandle on a set to define a shadow counting invariant of singular links which generalize the classical shadow colorings of knots by quandles. We then define a shadow polynomial invariant for shadow structures. Lastly, we enhance the shadow counting invariant by combining both the shadow counting invariant and the shadow polynomial invariant. Explicit examples of computations are given.
Citation
Ceniceros, J., Churchill, I., & Elhamdadi, M. (2021). Singquandle shadows and singular knot invariants. Canadian Mathematical Bulletin, 1-18. doi:10.4153/S0008439521000837
Description
This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.4153/S0008439521000837.