Mutating signed τ-exceptional sequences

We establish some properties of τ -exceptional sequences for finite-dimensional algebras. In an earlier paper, we established a bijection between the set of ordered support τ -tilting modules and the set of complete signed τ -exceptional sequences. We describe the action of the symmetric group on the latter induced by its natural action on the former. Similarly, we describe the effect on a τ -exceptional sequence obtained by mutating the corresponding ordered support τ -tilting module via a construction of Adachi-Iyama-Reiten.