The Crepant Transformation Conjecture implies the Monodromy Conjecture

Abstract

In this note we prove that the crepant transformation conjecture for a crepant birational transformation of Lawrence toric DM stacks studied in \cite{CIJ} implies the monodromy conjecture for the associated wall crossing of the symplectic resolutions of hypertoric stacks, due to Braverman, Maulik and Okounkov.

18 pages, Referee's corrections and improvements

References in corpus (5)

• A Mirror Theorem for Toric Stacks
• The Crepant Transformation Conjecture for Toric Complete Intersections
• K-Theoretic and Categorical Properties of Toric Deligne--Mumford Stacks
• Strong regular embeddings of Deligne-Mumford stacks and hypertoric geometry
• Hypertoric geometry and Gromov-Witten theory