Quantum cohomology of partial flag manifolds

Details Quantum cohomology of partial flag manifolds Quantum cohomology of partial flag manifolds

1994-01-20

arxiv.org/abs/hep-th/9401103v2

Commun.Math.Phys. 170 (1995) 503-528

Physics

High Energy Physics

High Energy Physics - Theory

33 pages

Scientific paper

10.1007/BF02099147

We compute the quantum cohomology rings of the partial flag manifolds
F_{n_1\cdots n_k}=U(n)/(U(n_1)\times \cdots \times U(n_k)). The inductive
computation uses the idea of Givental and Kim. Also we define a notion of the
vertical quantum cohomology ring of the algebraic bundle. For the flag bundle
F_{n_1\cdots n_k}(E) associated with the vector bundle E this ring is found.

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