Quantum cohomology of flag varieties

Abstract

We describe a construction of Gromov-Witten invariants for flag varieties and use it to give a presentation for the quantum cohomology ring, by extending the ideas used by Bertram in the case of Grassmannians. This provides a proof for the conjecture of Givental and Kim in [GK].

AMSTeX

References in corpus (3)

• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Topological Mirrors and Quantum Rings
• The quantum cohomology of homogeneous varieties

Cited by in corpus (1)

• Stable maps and Quot schemes