Results 21 to 30 of about 316 (182)
Gravitational Quantum Cohomology [PDF]
International Journal of Modern Physics A, 1997 We discuss how the theory of quantum cohomology may be generalized to "gravitational quantum cohomology" by studying topological σ models coupled to two-dimensional gravity. We first consider σ models defined on a general Fano manifold M (manifold with a positive first Chern class) and derive new recursion relations for its two-point functions.
Eguchi, Tohru +2 more
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Superconformal quantum mechanics and growth of sheaf cohomology
Journal of High Energy Physics, 2023 We give a geometric interpretation for superconformal quantum mechanics defined on a hyper-Kähler cone which has an equivariant symplectic resolution. BPS states are identified with certain twisted Dolbeault cohomology classes on the resolved space and ...
Nick Dorey, Boan Zhao
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On quantum obstruction spaces and higher codimension gauge theories
Physics Letters B, 2021 Using the quantum construction of the BV-BFV method for perturbative gauge theories, we show that the obstruction for quantizing a codimension 1 theory is given by the second cohomology group with respect to the boundary BRST charge. Moreover, we give an
Nima Moshayedi
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Quantum gravity and equivariant cohomology [PDF]
Nuclear Physics B, 1995 A procedure for obtaining correlation function densities and wavefunctionals for quantum gravity from the Donaldson polynomial invariants of topological quantum field theories, is given. We illustrate how our procedure may be applied to three and four dimensional quantum gravity.
Brooks, Roger, Lifschytz, Gilad
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Maximal Newton polygons via the quantum Bruhat graph [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 This paper discusses a surprising relationship between the quantum cohomology of the variety of complete flags and the partially ordered set of Newton polygons associated to an element in the affine Weyl group.
Elizabeth T. Beazley
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Chevalley-Monk and Giambelli formulas for Peterson Varieties [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 A Peterson variety is a subvariety of the flag variety $G/B$ defined by certain linear conditions. Peterson varieties appear in the construction of the quantum cohomology of partial flag varieties and in applications to the Toda flows.
Elizabeth Drellich
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Quantum Cohomology of Grassmannians [PDF]
Compositio Mathematica, 2003 We give elementary proofs of the main theorems about the (small) quantum cohomology of Grassmannians, including the quantum Giambelli and quantum Pieri formulas, the rim-hook algorithm, the presentation, and a recent theorem of Fulton and Woodward about the minimal q -power which appears in a
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Journal of High Energy Physics, 2020 We study a correspondence between 3d N $$ \mathcal{N} $$ = 2 topologically twisted Chern-Simons-matter theories on S 1 × Σg and quantum K -theory of Grassmannians.
Kazushi Ueda, Yutaka Yoshida
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Quantum Cohomology and Periods [PDF]
Annales de l'Institut Fourier, 2011 In a previous paper, the author introduced an integral structure in quantum cohomology defined by the K -theory and the Gamma class and showed that it is compatible with mirror symmetry for toric orbifolds.
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Quantum cohomology and Virasoro algebra [PDF]
Physics Letters B, 1997 latex,13pages.
Eguchi, T., Hori, K., Xiong, Chuansheng
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