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arxiv: math/0410054 · v4 · submitted 2004-10-04 · 🧮 math.AG

Toric arc schemes and quantum cohomology of toric varieties

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keywords cohomologytoricquantumringschemealgebro-geometricauxiliarycover
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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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