3 problems

Let $K$ be a knot whose integral Khovanov homology $Kh(K,\mathbb{Z})$ is supported on diagonals … where $w$ is the width of its Khovanov homology, and let $\sigma(K)$ denote its si…

Let $K$ be an alternating knot whose Alexander polynomial has a stable part with parameter $m$, as in the trapezoidal coefficient pattern … Let $\sigma(K)$ denote the signature of…

Let $K$ be a thin non-alternating knot, and let $\sigma(K)$ and $s(K)$ denote its signature and Rasmussen invariant, respectively. Signature–Rasmussen conjecture. Their absolute va…