Quantum Cohomology of Complete Intersections
Arnaud Beauville (1997)
Recherche Coopérative sur Programme n°25
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Displaying similar documents to “Quantum cohomology of flag manifolds and quantum Toda lattices.”
Quantum Cohomology of Complete Intersections
On quantum de Rham cohomology theory.
Cao, Huai-Dong, Zhou, Jian (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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An introduction to quantum sheaf cohomology
Eric Sharpe (2011)
Annales de l’institut Fourier
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In this note we review “quantum sheaf cohomology,” a deformation of sheaf cohomology that arises in a fashion closely akin to (and sometimes generalizing) ordinary quantum cohomology. Quantum sheaf cohomology arises in the study of (0,2) mirror symmetry, which we review. We then review standard topological field theories and the A/2, B/2 models, in which quantum sheaf cohomology arises, and outline basic definitions and computations. We then discuss (2,2) and (0,2) supersymmetric Landau-Ginzburg...
Multiple quantum products in toric varieties.
Spielberg, Holger (2002)
International Journal of Mathematics and Mathematical Sciences
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Quantum dynamics on the worldvolume from classical cohomology.
Isidro, José M., Fernández de Córdoba, Pedro (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Quantum cohomology and its application.
Ruan, Yongbin (1998)
Documenta Mathematica
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Cohomology of tensor product of quantum planes
Paolo Papi (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We consider the Lie algebra of inner derivations of the -fold tensor product of Manin quantum planes and compute its second cohomology group with trivial coefficients.
Quantum classifying spaces and universal quantum characteristic classes
Mićo Đurđević (1997)
Banach Center Publications
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A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of the classical concept of the classifying map is introduced and analyzed. Interrelations with the abstract algebraic theory of quantum characteristic classes are discussed. Various non-equivalent approaches to defining universal characteristic classes are outlined.
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
Vitaly Tarasov, Alexander Varchenko (2014)
Open Mathematics
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We describe hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety. These hypergeometric solutions manifest the Landau-Ginzburg mirror symmetry for the cotangent bundle of a partial flag variety.
Operations and quantum doubles in complex oriented cohomology theory.
Buchstaber, Victor M., Ray, Nigel (1999)
Homology, Homotopy and Applications
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A quantum Duistermaat-Heckamn formula?
Alberto Ibort (2003)
RACSAM
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Some aspects of Duistermaat-Heckman formula in finite dimensions are reviewed. We especulate with some of its possible extensions to infinite dimensions. In particular we review the localization principle and the geometry of loop spaces following Witten and Atiyah?s insight.