Toric arc schemes and quantum cohomology of toric varieties
Sergey Arkhipov, Mikhail Kapranov
Abstract
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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