Toric reduction and a conjecture of Batyrev and Materov

Abstract

We present a new integration formula for intersection numbers on toric quotients, extending the results of Witten, Jeffrey and Kirwan on localization. Our work was motivated by the Toric Residue Mirror Conjecture of Batyrev and Materov; as an application of our integration formula, we obtain a proof of this conjecture in a generalized setting.

42 pages, latex; references added, exposition improved

References in corpus (5)

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Two Dimensional Gauge Theories Revisited
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Toric Hyperkahler Varieties
• Residues and Resultants

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