Gromov-witten Invariants of Flag Manifolds, via D-modules

@inproceedings{AmarzayaGromovwittenIO,
  title={Gromov-witten Invariants of Flag Manifolds, via D-modules},
  author={A Amarzaya and Martin A. Guest and B GBC}
}
We present a method for computing the 3-point genus zero Gromov-Witten invariants of the complex flag manifold G/B from the relations of the small quantum cohomology algebra QH * G/B (G is a complex semisimple Lie group and B is a Borel subgroup). In [Fo-Ge-Po] and [Ki-Ma], at least in the case G = GL n C, two algebraic/combinatoric methods have been proposed, based on suitably designed axioms. Our method is quite different, being differential geometric in nature; it is based on the approach to… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 11 references

Harmonic Two-spheres in Compact Symmetric Spaces, Revisited

REVISITEDF. E. Burstall, M. A. GuestIntroductionThe
1996

Classical and quantum mechanical systems of Toda-lattice type. III. Joint eigenfunctions of the quantized systems

Go-Wa ] R Goodman, N Wallach
Commun. Math. Phys • 1986

Loop Groups

A N Pr-Se, G B Pressley, Segal
Loop Groups • 1986

The solution to a generalized Toda lattice and representation theory

B Kostant
Adv. Math • 1979

Similar Papers

Loading similar papers…