Mathematics > Algebraic Geometry
[Submitted on 11 Dec 2018]
Title:Schubert calculus on Newton-Okounkov polytopes
View PDFAbstract:A Newton-Okounkov polytope of a complete flag variety can be turned into a convex geometric model for Schubert calculus. Namely, we can represent Schubert cycles by linear combinations of faces of the polytope so that the intersection product of cycles corresponds to the set-theoretic intersection of faces (whenever the latter are transverse). We explain the general framework and survey particular realizations of this approach in types A, B and C.
Submission history
From: Valentina Kiritchenko [view email][v1] Tue, 11 Dec 2018 11:00:26 UTC (78 KB)
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