English

Toric reduction and a conjecture of Batyrev and Materov

Algebraic Topology 2009-11-10 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0306311,
  title  = {Toric reduction and a conjecture of Batyrev and Materov},
  author = {Andras Szenes and Michele Vergne},
  journal= {arXiv preprint arXiv:math/0306311},
  year   = {2009}
}

Comments

42 pages, latex; references added, exposition improved