Results 151 to 160 of about 307 (186)
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International Journal of Geometric Methods in Modern Physics, 2009
Within bicovariant differential calculi framework, the BRST operator Ω is constructed. We showed that Ω is nil-potent (Ω2=0).
Bentalha, Z., Tahiri, M.
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Within bicovariant differential calculi framework, the BRST operator Ω is constructed. We showed that Ω is nil-potent (Ω2=0).
Bentalha, Z., Tahiri, M.
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Journal of Physics A: Mathematical and General, 1991
The BRST operator is constructed which gives an operator realization of the cohomology theory based on three-dimensional left-invariant differential calculus on the quantum group \(SU(2)\). The construction is parallel to the one performed by van Holten in the classical case. The starting point is the observation that de Rham cohomology can be realized
Kunz, Jutta +3 more
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The BRST operator is constructed which gives an operator realization of the cohomology theory based on three-dimensional left-invariant differential calculus on the quantum group \(SU(2)\). The construction is parallel to the one performed by van Holten in the classical case. The starting point is the observation that de Rham cohomology can be realized
Kunz, Jutta +3 more
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Quantum Weyl reciprocity for cohomology
Proceedings of the London Mathematical Society, 2005The authors extend quantum Weyl reciprocity to include cohomology by investigating a Hecke algebra complex, which provides an explicit resolution of the functor \(\Phi\). A main result of this paper shows that the resolution leads to cohomological quantum Weyl reciprocity results.
Parshall, Brian J., Scott, Leonard L.
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Cohomology of Quantum Groups: the Quantum Dimension
Canadian Journal of Mathematics, 1993AbstractThis paper uses the notion of the quantum dimension to obtain new results on the cohomology and representation theory of quantum groups at a root of unity. In particular, we consider the elementary theory of support varieties for quantum groups.
Parshall, Brian, Wang, Jianpan
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Interpolation Theory and Quantum Cohomology
SIAM Journal on Control and Optimization, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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QUANTUM COHOMOLOGIES OF SYMMETRIC PRODUCTS
International Journal of Geometric Methods in Modern Physics, 2012In this paper we investigate the quantum cohomologies of symmetric products of Kähler manifolds. To do this we study the moduli space of product space and symmetric group action on it, Gromov–Witten invariant and relative Gromov–Witten invariant. Also we investigate the relations between symmetric invariant properties on the products space and the ...
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2007
Given a finite group G acting on a smooth projective variety X, there exists a G -algebra qA*(X,G) whose structure constants are defined by integrals over moduli spaces of G-equivariant stable maps of Jarvis-Kaufmann-Kimura. It is a deformation of the Fantechi-Göttsche group cohomology, and its invariant part qA*(X,G)G is canonically isomorphic to the
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Given a finite group G acting on a smooth projective variety X, there exists a G -algebra qA*(X,G) whose structure constants are defined by integrals over moduli spaces of G-equivariant stable maps of Jarvis-Kaufmann-Kimura. It is a deformation of the Fantechi-Göttsche group cohomology, and its invariant part qA*(X,G)G is canonically isomorphic to the
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2008
Abstract We shall describe a general method of producing D-modules which ‘resemble ‘ quantum cohomology D-modules, based on [62] and [72]. This could be considered as a method of construction of Frobenius manifolds (see Chapter 9). But it differs from other approaches in the literature both in its starting point (systems of scalar ...
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Abstract We shall describe a general method of producing D-modules which ‘resemble ‘ quantum cohomology D-modules, based on [62] and [72]. This could be considered as a method of construction of Frobenius manifolds (see Chapter 9). But it differs from other approaches in the literature both in its starting point (systems of scalar ...
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QUANTUM TYPE COHOMOLOGIES ON CONTACT MANIFOLDS
International Journal of Geometric Methods in Modern Physics, 2013We extend the notion of a pseudoholomorphic map in a symplectic manifold to the one of an almost coholomorphic map on a contact manifold M of an odd dimension. We study the moduli space of stable almost coholomorphic maps that represent a two-dimensional integral homology class of M, Gromov–Witten type invariants, quantum type products and quantum ...
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