Department of Mathematics2024-11-0920101073-792810.1093/imrn/rnq0252-s2.0-77958017675http://dx.doi.org/10.1093/imrn/rnq025https://hdl.handle.net/20.500.14288/15146We exhibit an infinite family of tight contact structures with the property that none of the supporting open books minimizes the genus and maximizes the Euler characteristic of the page simultaneously. This answers a question of Baldwin and Etnyre in [2].MathematicsJournal Article1687-02472827526000032978