Equivariant quantum Schubert calculus
Copyright policy )Equivariant quantum Schubert calculus
We study the T-equivariant quantum cohomology of the Grassmannian. We prove the vanishing of a certain class of equivariant quantum Littlewood-Richardson coefficients, which implies an equivariant quantum Pieri rule. As in the equivariant case, this implies an algorithm to compute the equivariant quantum Littlewood-Richardson coefficients.
24 pages, LaTeX
- University of Michigan–Flint United States
- University of Michigan–Ann Arbor United States
- University of Michigan United States
quantum cohomology, Mathematics(all), Schubert calculus, Equivariant Gromov–Witten, Quantum cohomology, Classical problems, Schubert calculus, quantum Pieri formula, Grassmannians, Schubert varieties, flag manifolds, Mathematics - Algebraic Geometry, Pieri formula, 57R91 (secondary), FOS: Mathematics, Mathematics - Combinatorics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), 14N35 (primary), Combinatorics (math.CO), 14N35 (primary); 14M15; 14N15; 57R91 (secondary), 14M15, Algebraic Geometry (math.AG), 14N15
quantum cohomology, Mathematics(all), Schubert calculus, Equivariant Gromov–Witten, Quantum cohomology, Classical problems, Schubert calculus, quantum Pieri formula, Grassmannians, Schubert varieties, flag manifolds, Mathematics - Algebraic Geometry, Pieri formula, 57R91 (secondary), FOS: Mathematics, Mathematics - Combinatorics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), 14N35 (primary), Combinatorics (math.CO), 14N35 (primary); 14M15; 14N15; 57R91 (secondary), 14M15, Algebraic Geometry (math.AG), 14N15
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