Quantum cohomology of partial flag manifolds-Reference-Cited by-同舟云学术

Quantum cohomology of partial flag manifolds

Published:2004-09-02 Issue:2 Volume:357 Page:443-458
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Buch Anders

Abstract

We give elementary geometric proofs of the structure theorems for the (small) quantum cohomology of partial flag varieties SL ⁡ ( n ) / P \operatorname {SL}(n)/P , including the quantum Pieri and quantum Giambelli formulas and the presentation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2005-357-02/S0002-9947-04-03655-4/S0002-9947-04-03655-4.pdf

Reference21 articles.

1. Quantum cohomology of partial flag manifolds 𝐹_{𝑛₁⋯𝑛_{𝑘}};Astashkevich, Alexander;Comm. Math. Phys.,1995

2. Quantum Schubert calculus;Bertram, Aaron;Adv. Math.,1997

3. A direct proof of the quantum version of Monk’s formula;Buch, Anders Skovsted;Proc. Amer. Math. Soc.,2003

4. Quantum cohomology of Grassmannians;Buch, Anders Skovsted;Compositio Math.,2003

5. A. S. Buch, A. Kresch, H. Tamvakis, and A. Yong, Schubert polynomials and quiver formulas, Duke Math. J. 122 (2004), no. 1, 125–143.

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