Quantum multiplication of Schur polynomials
Aaron Bertram, Ionut Ciocan-Fontanine, and William Fulton
TL;DR
This paper provides formulas for multiplying Schubert classes in the quantum cohomology of Grassmannians, using combinatorial tools like partitions and tableaux, advancing understanding of quantum Schubert calculus.
Contribution
It introduces explicit combinatorial formulas for quantum multiplication of Schur polynomials in Grassmannian cohomology, linking algebraic geometry with combinatorics.
Findings
Formulas for quantum product of Schur polynomials in Grassmannians
Connection between quantum cohomology and combinatorics of partitions
Enhanced computational methods for quantum Schubert calculus
Abstract
We give formulas for the products of classes of Schubert varieties in the quantum cohomology rings of Grassmannians, in terms of the combinatorics of partitions and tableaux.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Algebra and Geometry