Schubert Calculus and the Homology of the Peterson Variety

[摘要] We use the tight correlation between the geometry of the Peterson variety and the combinatorics the symmetric group to prove that homology of the Peterson variety injects into the homology of the flag variety. Our proof counts the points of intersection b

[学科分类] 离散数学和组合数学

[关键词] Schubert calculus;Intersection theory;Peterson variety;Schubert varieties