3 problems

Let $\lambda$ be a booklink in an open book 3-manifold representing a split link. A split booklink is a booklink admitting a splitting sphere intersecting each component of the bin…

Let $D$ and $D'$ be link-equivalent scannable algebraic divides of the same minimal index. Let $\beta(D)$ and $\beta(D')$ be their associated positive braids; two positive braids a…

Exchange-vanishing conjecture. The polynomials ${\bf Q}_{\widehat\beta,1}(x)$ of exchange-related braids vanish in the same way as the Fiedler polynomial; in particular, the first-…