English

Toric arc schemes and quantum cohomology of toric varieties

Algebraic Geometry 2007-05-23 v4

Abstract

We describe the quantum cohomology ring of a toric Fano variety XX in terms of the usual topological cohomology ring for an auxiliary infinite-dimensional scheme. This scheme is a part of an algebro-geometric model for the universal cover of the space of free loops with values in XX.

Keywords

Cite

@article{arxiv.math/0410054,
  title  = {Toric arc schemes and quantum cohomology of toric varieties},
  author = {Sergey Arkhipov and Mikhail Kapranov},
  journal= {arXiv preprint arXiv:math/0410054},
  year   = {2007}
}

Comments

10 pages, AMSLaTeX