The $\nu$-Tamari lattice via $\nu$-trees, $\nu$-bracket vectors, and subword complexes

Cesar Ceballos, Arnau Padrol, Camilo Sarmiento

We give new interpretations of the $\nu$-Tamari lattice of Préville-Ratelle and Viennot. First, we describe it as a rotation lattice of $\nu$-trees, which uncovers the relation with kn…