Matrices and Finite Biquandles
| dc.creator | Nelson, Sam | |
| dc.creator | Vo, John | |
| dc.date | 2006-01-07 | |
| dc.date | 2006-04-18 | |
| dc.date.accessioned | 2026-07-07T06:58:37Z | |
| dc.date.available | 2026-07-07T06:58:37Z | |
| dc.description | We describe a way of representing finite biquandles with n elements as 2n x 2n block matrices. Any finite biquandle defines an invariant of virtual knots through counting homomorphisms. The counting invariants of non-quandle biquandles can reveal information not present in the knot quandle, such as the non-triviality of the virtual trefoil and various Kishino knots. We also exhibit a virtual knot which is distinguished from its obverse and its reverse by a finite biquandle counting invariant. We classify biquandles of order 2, 3 and 4 and provide a URL for our Maple programs for computing with finite biquandles. | |
| dc.description | 20 pages. Version 4: changes made as suggested by the referee. To appear in Homology, Homotopy and Applications | |
| dc.identifier | https://arxiv.org/abs/math/0601145 | |
| dc.identifier | http://arxiv.org/abs/math/0601145 | |
| dc.identifier | Homology, Homotopy and Applications 8 (2006) 51-73. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107430 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57M27 | |
| dc.title | Matrices and Finite Biquandles | |
| dc.type | text |