科研之友
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摘要
We give a representation-theoretic proof of a conjecture from Rietsch (Adv Math 217:2401-2442, 2008) providing integral formulas for solutions to the quantum Toda lattice in general type. This result generalizes work of Givental for SL (n) /B in a uniform way to arbitrary type, and can be interpreted as a kind of mirror theorem for the full flag variety G/B. We also prove the existence of a totally positive and totally negative critical point of the 'superpotential' in every mirror fiber.
- 出版日期2012-1
