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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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Quantum cohomology of flag manifolds and Toda lattices
Communications in Mathematical Physics, 1995Bumsig Kim
exaly
Stokes Matrices and Monodromy of the Quantum Cohomology of Projective Spaces
Communications in Mathematical Physics, 1999Davide Guzzetti
exaly