Branched covers of quasipositive links and L-spaces

Michel Boileau, Steven Boyer, Cameron McA. Gordon

Let $L$ be a oriented link such that ${\Sigma }_n(L)$, the $n$-fold cyclic cover of $S^3$ branched over $L$, is an L-space for some $n\ge 2$. We show that if either $L$ is a strongly qua…