Donaldson-Thomas invariants of Calabi-Yau orbifolds under flops

Abstract

We study the Donaldson-Thomas type invariants for the Calabi-Yau threefold Deligne-Mumford stacks under flops. A crepant birational morphism between two smooth Calabi-Yau threefold Deligne-Mumford stacks is called an orbifold flop if the flopping locus is the quotient of weighted projective lines by a cyclic group action. We prove that the Donaldson-Thomas invariants are preserved under orbifold flops.

35 pages, comments are very welcome

References in corpus (6)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Donaldson-Thomas invariants via microlocal geometry
• The Crepant Transformation Conjecture for Toric Complete Intersections
• Generalized Donaldson-Thomas theory over fields K $\ne$ C
• The Thom-Sebastiani theorem for the Euler characteristic of cyclic L-infinity algebras
• Flops, flips and perverse point sheaves on threefold stacks

Cited by in corpus (1)

• Note on the motivic DT/PT correspondence and the motivic Flop formula