Quantum Schubert Calculus
نویسندگان
چکیده
منابع مشابه
Equivariant Quantum Schubert Calculus
We study the T−equivariant quantum cohomology of the Grassmannian. We prove the vanishing of a certain class of equivariant quantum Littlewood-Richardson coefficients, which implies an equivariant quantum Pieri rule. As in the equivariant case, this implies an algorithm to compute the equivariant quantum Littlewood-Richardson coefficients.
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String theorists (notably Witten [W]) recently introduced the notion of a “quantum” deformation of the cohomology ring of a smooth projective variety X. This quantum deformation, or quantum cohomology ring, as it is often called, is an algebra over a formal-power-series ring which specializes to the ordinary cohomology ring, and which is defined in terms of intersection data (the Gromov-Witten ...
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We provide a new realization of the quantum cohomology ring of a flag variety as a certain commutative subalgebra in the cross product of the Nichols-Woronowicz algebras associated to a certain Yetter-Drinfeld module over the Weyl group. We also give a generalization of some recent results by Y.Bazlov to the case of the Grothendieck ring of a flag variety of classical type. Résumé. Nous fournis...
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These four lectures are for the “Workshop on QuantumMarginals and Density Matrices” at the Fields Institute in Toronto, July 27-31, 2009.
متن کاملPositivity in Equivariant Quantum Schubert Calculus
A conjecture of D. Peterson, proved by W. Graham [Gr], states that the structure constants of the (T−)equivariant cohomology of a homogeneous space G/P satisfy a certain positivity property. In this paper we show that this positivity property holds in the more general situation of equivariant quantum cohomology.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1997
ISSN: 0001-8708
DOI: 10.1006/aima.1997.1627