Total positivity, flag varieties and quantum cohomology. (English) Zbl 1059.14068
Mezzetti, Emilia (ed.) et al., European women in mathematics. Proceedings of the tenth general meeting, (EWM’2001), Malta, August 24–30, 2001. River Edge, NJ: World Scientific (ISBN 981-238-190-2/hbk). 149-167 (2003).
The author gives a simplified exposition focusing on the variety of complete flags. She explains how the quantum cohomology ring for the full flag variety can be used to study totally positive uni-triangular Toeplitz matrices.
For the entire collection see [Zbl 1011.00024].
For the entire collection see [Zbl 1011.00024].
Reviewer: Grosio Stanilov (Sofia)
MSC:
| 14N35 | Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) |
| 53D45 | Gromov-Witten invariants, quantum cohomology, Frobenius manifolds |
| 14M15 | Grassmannians, Schubert varieties, flag manifolds |
