Errata to ``Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties''
نویسندگان
چکیده
منابع مشابه
On Quantum Cohomology Rings of Partial Flag Varieties
0. Introduction. The main goal of this paper is to give a unified description for the structure of the small quantum cohomology rings for all projective homogeneous spaces SLn(C)/P , where P is a parabolic subgroup. The quantum cohomology ring of a smooth projective variety, or more generally of a symplectic manifoldX, has been introduced by string theorists (see [Va] and [W1]). Roughly speakin...
متن کاملThe Quantum Cohomology Ring of Flag Varieties
We describe the small quantum cohomology ring of complete flag varieties by algebro-geometric methods, as presented in our previous work Quantum cohomology of flag varieties (Internat. Math. Res. Notices, no. 6 (1995), 263–277). We also give a geometric proof of the quantum Monk formula.
متن کاملQuantum Cohomology of Partial Flag Manifolds
We give elementary geometric proofs of the structure theorems for the (small) quantum cohomology of partial flag varieties SL(n)/P , including the quantum Pieri and quantum Giambelli formulas and the presentation.
متن کاملA Partial Horn Recursion in the Cohomology of Flag Varieties
Horn recursion is a term used to describe when non-vanishing products of Schubert classes in the cohomology of complex flag varieties are characterized by inequalities parameterized by similar non-vanishing products in the cohomology of “smaller” flag varieties. We consider the type A partial flag variety and find that its cohomology exhibits a Horn recursion on a certain deformation of the cup...
متن کاملCohomology of Standard Modules on Partial Flag Varieties
Cohomological induction gives an algebraic method for constructing representations of a real reductive Lie group G from irreducible representations of reductive subgroups. Beilinson-Bernstein localization alternatively gives a geometric method for constructing Harish-Chandra modules for G from certain representations of a Cartan subgroup. The duality theorem of Hecht, Miličić, Schmid and Wolf e...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2007
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-07-00580-2