Cohomology ring of crepant resolutions of orbifolds

Abstract

Motivated by physics, we propose two conjectures regarding the cohomology ring of the crepant resolutions of orbifolds and cohomological invariants of K-equivalent manifolds.

arXiv commentRevised version

References in corpus (4)

• A New Cohomology Theory for Orbifold
• On the Cobordism Class of the Hilbert Scheme of a Surface
• Twisted jets, motivic measure and orbifold cohomology
• The cup product of the Hilbert scheme for K3 surfaces

Cited by in corpus (12)

• The Crepant Transformation Conjecture for Toric Complete Intersections
• Orbifold Cohomology of ADE-singularities
• Crepant resolutions of weighted projective spaces and quantum deformations
• The Orbifold Chow Ring of Hypertoric Deligne-Mumford Stacks
• Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3
• The Chen-Ruan Cohomology Ring of Mirror Quintic
• Orbifold cohomology of torus quotients
• A Gamma Class Formula for Open Gromov-Witten Calculations
• Ideals of the cohomology rings of Hilbert schemes and their applications
• Mukai Flop and Ruan Cohomology
• The Orbifold Cohomology Ring of Simplicial Toric Stack Bundles
• Gerbes and twisted orbifold quantum cohomology