Abstract
In this paper, we compute Gromov-Witten invariants of the flag manifold using a new combinatorial construction for its quantum cohomology ring. Our construction provides quantum analogues of the Bernstein-Gelfand-Gelfand results on the coho-mology of the flag manifold, and the Lascoux-Schützenberger theory of Schubert polynomials. We also derive the quantum Monk's formula.
Cite
CITATION STYLE
APA
Fomin, S., Gelfand, S., & Postnikov, A. (1997). Quantum Schubert polynomials. Journal of the American Mathematical Society, 10(3), 565–596. https://doi.org/10.1090/s0894-0347-97-00237-3
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