Mathematics – Combinatorics
Scientific paper
2003-01-22
Mathematics
Combinatorics
18 pages
Scientific paper
A purely combinatorial construction of the quantum cohomology ring of the flag manifold $G/B$ is presented. We show that the ring we construct is commutative, associative and satisfies the usual grading condition. By using results of two of our previous papers, we obtain a presentation of this ring in terms of generators and relations, as well as formulas for quantum Giambelli polynomials. We show that these polynomials satisfy a certain orthogonality property, which - for G=SL_n(C) - was proved previously by Fomin, Gelfand and Postnikov.
No associations
LandOfFree
The combinatorial quantum cohomology ring of $G/B$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The combinatorial quantum cohomology ring of $G/B$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The combinatorial quantum cohomology ring of $G/B$ will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-74352