40 citations · 75 across the 3 of their papers we have counts for
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Wall-Crossings in Toric Gromov-Witten Theory II: Local Examples
Tom Coates
In this paper we analyze six examples of birational transformations between toric orbifolds: three crepant resolutions, two crepant partial resolutions, and a flop. We study the ef…
Quantum Cohomology and Crepant Resolutions: A Conjecture
Tom Coates, Yongbin Ruan
We give an expository account of a conjecture, developed by Coates--Corti--Iritani--Tseng and Ruan, which relates the quantum cohomology of a Gorenstein orbifold X to the quantum c…
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…
Quantum Riemann - Roch, Lefschetz and Serre
Tom Coates, Alexander Givental
Given a holomorphic vector bundle over a compact Kähler manifold, one introduces twisted GW-invariants of replacing virtual fundamental cycles of moduli spaces of stab…