Quantum Schubert Calculus
Copyright policy )Quantum Schubert Calculus
20 pages (LaTeX). To appear in Advances in Mathematics. The quantum Pieri formula in the original version has been corrected (see also alg-geom/9705024), and the Title has been ``quantized''
This paper works out the versions of the classical Giambelli and Pieri formulas in the context of quantum cohomology of a complex Grassmannian.
- University of Utah United States
- University of Utah United States
- Harvard University United States
Mathematics(all), Giambelli's formula, Pieri's formula, Quantum field theory on curved space or space-time backgrounds, Grassmannians, Schubert varieties, flag manifolds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Relationships between surfaces, higher-dimensional varieties, and physics, Gromov-Witten intersection number, Mathematics - Algebraic Geometry, small quantum ring, FOS: Mathematics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Algebraic Geometry (math.AG)
Mathematics(all), Giambelli's formula, Pieri's formula, Quantum field theory on curved space or space-time backgrounds, Grassmannians, Schubert varieties, flag manifolds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Relationships between surfaces, higher-dimensional varieties, and physics, Gromov-Witten intersection number, Mathematics - Algebraic Geometry, small quantum ring, FOS: Mathematics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Algebraic Geometry (math.AG)
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