241 citations · 1.1k across the 41 of their papers we have counts for
Showing 2007 · math.AGShow all
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math.AG2007★ 34 cited
Real and integral structures in quantum cohomology I: toric orbifolds
Hiroshi Iritani
We study real and integral structures in the space of solutions to the quantum differential equations. First we show that, under mild conditions, any real structure in orbifold qua…
math.AG2007★ 21 cited
The Crepant Resolution Conjecture for Type A Surface Singularities
Tom Coates, Alessio Corti, Hiroshi Iritani +1
Let X be an orbifold with crepant resolution Y. The Crepant Resolution Conjectures of Ruan and Bryan-Graber assert, roughly speaking, that the quantum cohomology of X becomes isomo…
math.AG2007★ 128 cited
Computing Genus-Zero Twisted Gromov-Witten Invariants
Tom Coates, Alessio Corti, Hiroshi Iritani +1
Twisted Gromov-Witten invariants are intersection numbers in moduli spaces of stable maps to a manifold or orbifold X which depend in addition on a vector bundle over X and an inve…