Tilting and Refined Donaldson-Thomas Invariants

Abstract

We study tilting for the heart A of the canonical t-structure of the finite-dimensional derived category of the Ginzburg algebra for a quiver with potential (Q,W). We give conditions on that the stable objects for a central charge on A define a sequence of simple tilts from A to A[-1]. On that conditions the refined Donaldson-Thomas invariant associated to (Q,W) is independent of the chosen central charge.

Revised version, minor changes, generic becomes non-degenerate

References in corpus (2)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Exchange graphs and Ext quivers

Cited by in corpus (2)

• Stability conditions and quantum dilogarithm identities for Dynkin quivers
• Quantum dilogarithm identities and cyclic quivers