Toric arc schemes and quantum cohomology of toric varieties

Details Toric arc schemes and quantum cohomology of toric varieties Toric arc schemes and quantum cohomology of toric varieties

2004-10-04

arxiv.org/abs/math/0410054v4

Mathematics

Algebraic Geometry

10 pages, AMSLaTeX

Scientific paper

We describe the quantum cohomology ring of a toric Fano variety $X$ 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 $X$.

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