The classification of τ-tilting modules over Nakayama algebras

In this paper, we study τ-tilting modules over Nakayama algebras. We establish bijections between τ-tilting modules, triangulations of a polygon with a puncture, and certain integer sequences. Moreover, we give an algorithm to construct the Hasse quiver of support τ-tilting modules by using Drozd-Kirichenko rejection.