2025/02/23 by Kai Wang, Wang, Kai, Shengmao Zhu +1
Computer Science · #Semantic Web and Ontologies #Logic, Reasoning, and Knowledge #Multi-Agent Systems and Negotiation
paper · pdf · doi:10.48550/arxiv.2502.16609
In this article, we investigate the BPS invariants associated with framed links. We extend the relationship between the algebraic curve (i.e. dual A-polynomial) and the BPS invariants of a knot investigated in \citeGKS to the case of a framed knot. With the help of the framing change formula for the dual A-polynomial of a framed knot, we give several explicit formulas for the extremal A-polynomials and the BPS invariants of framed knots. As to the framed links, we present several numerical calculations for the Ooguri-Vafa invariants and BPS invariants for framed Whitehead links and Borromean rings and verify the integrality property for them.