Results 11 to 20 of about 33,027 (196)
Quantum Cohomology of Hypertoric Varieties [PDF]
Letters in Mathematical Physics, 2013 We give a complete description of the equivariant quantum cohomology ring of any smooth hypertoric variety, and find a mirror formula for the quantum differential equation.
McBreen, Michael Ben, Shenfeld, Daniel
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Quantum cohomology of a product [PDF]
Inventiones Mathematicae, 1996 The operation of tensor product of Cohomological Field Theories (or algebras over genus zero moduli operad) introduced in an earlier paper by the authors is described in full detail, and the proof of a theorem on additive relations between strata classes is given. This operation is a version of the Kuenneth formula for quantum cohomology.
Kontsevich, M., Manin, Yu., Kaufmann, R.
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Quantum Sheaf Cohomology on Grassmannians [PDF]
Communications in Mathematical Physics, 2016 60 pages, LaTeX; v2:identifier added to reference; v3:typos ...
Jirui Guo, Zhentao Lu, Eric Sharpe
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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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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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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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Journal of the European Mathematical Society, 2023 We establish a system of PDE, called open WDVV, that constrains the bulk-deformed superpotential and associated open Gromov–Witten invariants of a Lagrangian submanifold L \subset X with a bounding chain. Simultaneously, we define the quantum cohomology algebra of
Solomon, Jake P., Tukachinsky, Sara B.
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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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Hodge structures for orbifold cohomology [PDF]
, 2006 We construct a polarized Hodge structure on the primitive part of Chen and Ruan's orbifold cohomology $H_{orb}^k(X)$ for projective $SL$-orbifolds $X$ satisfying a ``Hard Lefschetz Condition''. Furthermore, the total cohomology $H_{orb}^{*,*}(X)$ forms
Fernandez, Javier
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Poisson (co)homology of truncated polynomial algebras in two variables [PDF]
, 2008 We study the Poisson (co)homology of the algebra of truncated polynomials in two variables viewed as the semi-classical limit of a quantum complete intersection studied by Bergh and Erdmann.
Alev +15 more
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