2 problems

Let $R$ be an arbitrary field or principal integral domain, let $c\in M_n(R)$, and let $d\in M_m(R)$. Write $S_n(c,R)$ and $S_m(d,R)$ for the associated centralizer matrix algebras…

Let $T(a,b)$ denote the $(a,b)$-torus knot, let $T(k,p)\mathbin{\#}T(p,p+1)$ denote their connected sum, and let $\operatorname{CFK}^{\infty}(K)$ denote the knot Floer complex of a…