Gromov-Witten invariants of flag manifolds, via D-modules

• Autores: A. Amarzaya, M. A. Guest
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 72, Nº 1, 2005, págs. 121-136
• Idioma: inglés
• DOI: 10.1112/s0024610705006381
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• Resumen

  • We present a method for computing the 3-point genus zero Gromov-Witten invariants of the complex flag manifold from the relations of the small quantum cohomology algebra ( is a complex semisimple Lie group and is a Borel subgroup). In [3] and [9], at least in the case , 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 quantum cohomology described in [7], which is in turn based on the integrable systems point of view of Dubrovin and Givental.