26 citations · 26 across the 4 of their papers we have counts for
4 papers · 1 filter
Transitivity of mutation of -exceptional sequences in the -tilting finite case
Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh
We prove that mutation of complete -exceptional sequences is transitive for -tilting finite algebras.
Presentations of the braid group of the complex reflection group
Francesca Fedele, Bethany Rose Marsh
We show that the braid group associated to the complex reflection group is an index subgroup of the braid group of the orbifold quotient of the complex numbers by a…
Mutation of τ-exceptional pairs and sequences
Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh
We introduce a notion of mutation for -exceptional sequences of modules over arbitrary finite dimensional algebras. For hereditary algebras, we show that this coincides with the…
Coloured quivers for rigid objects and partial triangulations: The unpunctured case
Bethany Marsh, Yann Palu
We associate a coloured quiver to a rigid object in a Hom-finite 2-Calabi--Yau triangulated category and to a partial triangulation on a marked (unpunctured) Riemann surface. We sh…