2015 Volume 67 Issue 3 Pages 1147-1159
The main result of this note gives an efficient presentation of the S1-equivariant cohomology ring of Peterson varieties (in type A) as a quotient of a polynomial ring by an ideal 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 J is generated by quadratics.
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