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    Polynomial invariants of singular knots and links

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    Author
    Ceniceros, Jose
    Churchill, Indu R.
    Elhamdadi, Mohamed
    Keyword
    Algebra and Number Theory
    Quandle polynomial
    singular knots and links
    singquandle
    singquandle polynomial
    Journal title
    Journal of Knot Theory and Its Ramifications
    Date Published
    2021-02-25
    Publication Volume
    30
    Publication Issue
    01
    Publication Begin page
    2150003
    
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    URI
    http://hdl.handle.net/20.500.12648/7104
    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
    DOI
    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
    ae974a485f413a2113503eed53cd6c53
    10.1142/s0218216521500036
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    SUNY Oswego Faculty and Staff Scholarly Publications

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