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The quantum euler class and the quantum cohomology of the Grassmannians

✍ Scribed by Lowell Abrams


Book ID
110679385
Publisher
The Hebrew University Magnes Press
Year
2000
Tongue
English
Weight
766 KB
Volume
117
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Quantum Deformation of the Grassmannian
✍ R. Fioresi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 202 KB

In this paper we work out a deformation of G r, n , the grassmannian of r-subspaces in a vector space of dimension n over a field k of characteristic 0. Ε½ . Ε½ . G r, n is deformed as an homogeneous space for SL k , the special linear group n n w Ε½ .x Ε½ . of k ; this means that k G r, n , the coordin

Prime ideals in the quantum grassmannian
✍ S. Launois; T. H. Lenagan; L. Rigal πŸ“‚ Article πŸ“… 2008 πŸ› SP BirkhΓ€user Verlag Basel 🌐 English βš– 486 KB
A sagbi basis for the quantum Grassmanni
✍ Frank Sottile; Bernd Sturmfels πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 201 KB

The maximal minors of a p Γ— (m + p)-matrix of univariate polynomials of degree n with indeterminate coe cients are themselves polynomials of degree np. The sub-algebra generated by their coe cients is the coordinate ring of the quantum Grassmannian, a singular compactiΓΏcation of the space of rationa