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Quantum Cohomology and Closed-String Mirror Symmetry for Toric Varieties

Quantum Cohomology and Closed-String Mirror Symmetry for Toric Varieties

Abstract We give a short new computation of the quantum cohomology of an arbitrary smooth (semiprojective) toric variety $X$, by showing directly that the Kodairaā€“Spencer map of Fukayaā€“Ohā€“Ohtaā€“Ono defines an isomorphism onto a suitable Jacobian ring. In contrast to previous results of this kind, $X$ need not be compact. The ā€¦