We explicitly construct pseudo-Anosov maps on the closed surface of genus with orientable foliations whose stretch factor is a Salem number with algebraic degree . Using this result, we show that there is a pseudo-Anosov map whose stretch factor has algebraic degree , for each positive even integer such that .
"Algebraic degrees of stretch factors in mapping class groups." Algebr. Geom. Topol. 16 (3) 1567 - 1584, 2016. https://doi.org/10.2140/agt.2016.16.1567