A Cable Knot and BPS-Series

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• ISSN: 1815-0659
• 1. Verfasser: Chae, John
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211882
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A Cable Knot and BPS-Series. John Chae. SIGMA 19 (2023), 002, 12 pages

A series invariant of the complement of a knot was introduced recently. The invariants for several prime knots up to ten crossings have been explicitly computed. We present the first example of a satellite knot, namely, a cable of the figure eight knot, which has more than ten crossings. This cable...