A positive Monk formula in the <i>S</i> <sup>1</sup> -equivariant cohomology of type <i>A</i> Peterson varieties
A positive Monk formula in the <i>S</i> <sup>1</sup> -equivariant cohomology of type <i>A</i> Peterson varieties
Peterson varieties are a special class of Hessenberg varieties that have been extensively studied, for example, by Peterson, Kostant, and Rietsch, in connection with the quantum cohomology of the flag variety. In this manuscript, we develop a generalized Schubert calculus, and in particular a positive Chevalley–Monk formula, for the ordinary …