Let $L$ be an $n$-component Brunnian link and $F$ a genus $g$ closed surface containing $L$. Then, we show that $g>(n+3)/3$.
"On a Genus of a Closed Surface Containing a Brunnian Link." Tokyo J. Math. 31 (2) 347 - 349, December 2008. https://doi.org/10.3836/tjm/1233844057