Knot quandle decomposition along a torus

Bonatto, Marco (avtor), Cattabriga, Alessia (avtor), Horvat, Eva (avtor)

We study the structure of the augmented fundamental quandle of a knot whose complement contains an incompressible torus. We obtain the relationship between the fundamental quandle of a satellite knot and the fundamental quandles/groups of its companion and pattern knots. General presentations of the fundamental quandles of a link in a solid torus, a link in a lens space and a satellite knot are described. In the last part of the paper, an algebraic approach to the study of affine quandles is presented and some known results about the Alexander module and quandle colorings are obtained.

• Jezik: Angleški jezik
• Ključne besede: augmented fundamental quandle, links in the solid torus, satellite knots, links in lens spaces, Alexander quandle, quandle colorings
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2024
• Št. strani: 27 str.
• Številčenje: Vol. 33, no. 1, art. 2350098
• PID: 20.500.12556/RUL-155462
• UDK: 51
• ISSN pri članku: 1793-6527
• DOI: 10.1142/S0218216523500980
• COBISS.SI-ID: 190537731
• Datum objave v RUL: 03.04.2024

Gradivo je del revije

• Naslov: Journal of knot theory and its ramifications
• Skrajšan naslov: J. knot theory ramif.
• Založnik: World Scientific Publishing
• ISSN: 1793-6527
• COBISS.SI-ID: 520980761

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: povečani temeljni kvantil, satelitski vozli, Aleksandrov kvandel, obarvanost kvandla, matematika