The No Gap Conjecture for tame hereditary algebras

Abstract

The "No Gap Conjecture" of Brüstle-Dupont-Pérotin states that the set of lengths of maximal green sequences for hereditary algebras over an algebraically closed field has no gaps. This follows from a stronger conjecture that any two maximal green sequences can be "polygonally deformed" into each other. We prove this stronger conjecture for all tame hereditary algebras over any field.

13 pages, 3 figures

References in corpus (4)

• Quiver mutation and combinatorial DT-invariants
• Modulated semi-invariants
• BPS spectrum, wall crossing and quantum dilogarithm identity
• Remarks on lengths of maximal green sequences for quivers of type ${\tilde{A}}_{n,1}$

Cited by in corpus (1)

• Horizontal and vertical mutation fans