%0 Journal Article
%T Gromov-Witten invariants of flag manifolds, via D-modules
%A A. Amarzaya
%A M. A. Guest
%J Mathematics
%D 2003
%I arXiv
%X The quantum cohomology algebra of the (full) flag manifold is a fundamental example in quantum cohomology theory, with connections to combinatorics, algebraic geometry, and integrable systems. Using a differential geometric approach, we give an algorithm for computing the multiplicative structure constants of this algebra (the 3-point genus zero Gromov-Witten invariants). The algorithm involves a Grobner basis calculation and the solution by quadrature of a system of differential equations. In particular we obtain quantum Schubert polynomials in a natural fashion.
%U http://arxiv.org/abs/math/0306372v2