Polynomial invariants of singular knots and links
| dc.contributor.author | Ceniceros, Jose | |
| dc.contributor.author | Churchill, Indu R. | |
| dc.contributor.author | Elhamdadi, Mohamed | |
| dc.date.accessioned | 2022-03-09T13:50:49Z | |
| dc.date.available | 2022-03-09T13:50:49Z | |
| dc.date.issued | 2021-02-25 | |
| dc.identifier.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 | en_US |
| dc.identifier.issn | 0218-2165 | |
| dc.identifier.eissn | 1793-6527 | |
| dc.identifier.doi | 10.1142/s0218216521500036 | |
| dc.identifier.pii | 10.1142/S0218216521500036 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12648/7104 | |
| dc.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 | en_US |
| dc.description.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. | en_US |
| dc.description.sponsorship | Simons Foundation | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Pub Co Pte Lt | en_US |
| dc.relation.url | https://www.worldscientific.com/doi/abs/10.1142/S0218216521500036 | en_US |
| dc.subject | Algebra and Number Theory | en_US |
| dc.subject | Quandle polynomial | en_US |
| dc.subject | singular knots and links | en_US |
| dc.subject | singquandle | en_US |
| dc.subject | singquandle polynomial | en_US |
| dc.title | Polynomial invariants of singular knots and links | en_US |
| dc.type | Article/Review | en_US |
| dc.source.journaltitle | Journal of Knot Theory and Its Ramifications | en_US |
| dc.source.volume | 30 | |
| dc.source.issue | 01 | |
| dc.source.beginpage | 2150003 | |
| dc.description.version | AM | en_US |
| refterms.dateFOA | 2022-02-26T00:00:00Z | |
| dc.description.institution | SUNY Oswego | en_US |
| dc.description.department | Mathematics | en_US |
| dc.description.degreelevel | N/A | en_US |
