Schubert Calculus and the Homology of the Peterson Variety

  • Erik Insko
Keywords: Schubert calculus, Intersection theory, Peterson variety, Schubert varieties


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.

Author Biography

Erik Insko, Florida Gulf Coast University

Assistant Professor

Department of Mathematics


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