Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant Quantum Cohomology of the Grassmannian via the Rim Hook Rule   A driving question in (quantum) cohomology of flag varieties is to find
non-recursive, positive combinatorial formulas for expressing the product of
two classes in a particularly nice basis, called the Schubert basis. Bertram,
Ciocan-Fontanine and Fulton provided a way to compute quantum products of
Schubert classes in the Grassmannian of k-planes in complex n-space by doing
classical multiplication and then applying a combinatorial rim hook rule which
yields the quantum parameter. In this paper, we provide a generalization of
this rim hook rule to the setting in which there is also an action of the
complex torus. Combining this result with Knutson and Tao's puzzle rule then
gives an effective algorithm for computing all equivariant quantum
Littlewood-Richardson coefficients. Interestingly, this rule requires a
specialization of torus weights modulo n, suggesting a direct connection to the
Peterson isomorphism relating quantum and affine Schubert calculus.

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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: stat