Schubert Calculus and the Homology of the Peterson Variety
نویسنده
چکیده
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 between certain Schubert varieties in the full flag variety and the Peterson variety, and shows that these intersections are proper and transverse.
منابع مشابه
A Positive Monk Formula in the S1-equivariant Cohomology of Type a Peterson Varieties
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عنوان ژورنال:
- Electr. J. Comb.
دوره 22 شماره
صفحات -
تاریخ انتشار 2015