Geodesic
Schubert calculus and the homology of the Peterson variety
Erik Insko1
1Florida Gulf Coast University
The electronic journal of combinatorics, Tome 22 (2015) no. 2

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Zbl
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.
DOI : 10.37236/4945
Classification : 14M15, 14C17, 14N15, 14F25
Mots-clés : Schubert calculus, intersection theory, Peterson variety

Erik Insko  1

1 Florida Gulf Coast University 
Erik Insko. Schubert calculus and the homology of the Peterson variety. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4945
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     author = {Erik Insko},
     title = {Schubert calculus and the homology of the {Peterson} variety},
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     doi = {10.37236/4945},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/4945/}
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