Let X and Y be K-equivalent toric Deligne–Mumford stacks related by a single toric wall-
crossing. We prove the Crepant Transformation Conjecture in this case, fully-equivariantly …

We calculate the small quantum orbifold cohomology of arbitrary weighted projective
spaces. We generalize Givental's heuristic argument, which relates small quantum …

In this paper we analyze four examples of birational transformations between local Calabi–
Yau 3-folds: two crepant resolutions, a crepant partial resolution, and a flop. We study the …

We study Ruan's cohomological crepant resolution conjecture [41] for orbifolds with
transversal ADE singularities. In the An-case, we compute both the Chen–Ruan cohomology …

We prove a quantum version of Kalkman's wall-crossing formula comparing Gromov-Witten
invariants on geometric invariant theory (git) quotients related by a change in polarization …

THE COHOMOLOGICAL CREPANT RESOLUTION CONJECTURE FOR ℙ(1,3,4,4) Page 1
International Journal of Mathematics Vol. 20, No. 6 (2009) 791–801 c World Scientific Publishing …

In this paper we study the integral Chow ring of toric Deligne–Mumford stacks. We prove that
the integral Chow ring of a semi-projective toric Deligne–Mumford stack is isomorphic to the …

We study the birational geometry of hypersurfaces in products of weighted projective
spaces, extending results previously established by JC Ottem. For most cases where these …

Full article: A Model for the Orbifold Chow Ring of Weighted Projective Spaces Skip to Main
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We construct in an abstract fashion the orbifold quantum cohomology (quantum orbifold
cohomology) of weighted projective space, starting from the orbifold quantum differential …