Toric reduction and a conjecture of Batyrev and Materov

Details Toric reduction and a conjecture of Batyrev and Materov Toric reduction and a conjecture of Batyrev and Materov

2003-06-20

arxiv.org/abs/math/0306311v2

Mathematics

Algebraic Topology

42 pages, latex; references added, exposition improved

Scientific paper

10.1007/s00222-004-0375-2

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.

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