# knot theory, links, chessboard complex

## The 4x5 chessboard complex is the complement of a link, which link? ★★

Author(s): David Eppstein

\begin{problem} Ian Agol and Matthias Goerner observed that the 4x5 chessboard complex is the complement of many distinct links in the 3-sphere. Their observation is non-constructive, as it uses the resolution of the Poincare Conjecture. Find specific links that have the 4x5 chessboard complex as their complement. \end{problem}

Keywords: knot theory, links, chessboard complex