Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The equivariant cohomology rings of Peterson varieties   The main result of this note is an efficient presentation of the
$S^1$-equivariant cohomology ring of Peterson varieties (in type $A$) as a
quotient of a polynomial ring by an ideal $\mathcal{J}$, in the spirit of the
well-known Borel presentation of the cohomology of the flag variety. Our result
simplifies previous presentations given by Harada-Tymoczko and Bayegan-Harada.
In particular, our result gives an affirmative answer to a conjecture of
Bayegan and Harada that the defining ideal $\mathcal{J}$ is generated by
quadratics.

29
The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con