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- W2804773351 abstract "We describe q-hypergeometric solutions of the equivariant quantum differential equations and the associated qKZ difference equations for the cotangent bundle T∗Fλ of a partial flag variety Fλ . These q-hypergeometric solutions manifest a Landau–Ginzburg mirror symmetry for the cotangent bundle. We formulate and prove Pieri rules for quantum equivariant cohomology of the cotangent bundle. Our Gamma theorem for T∗Fλ says that the leading term of the asymptotics of the q-hypergeometric solutions can be written as the equivariant Gamma class of the tangent bundle of T∗Fλ multiplied by the exponentials of the equivariant first Chern classes of the associated vector bundles. That statement is analogous to the statement of the gamma conjecture by B. Dubrovin and by S. Galkin, V. Golyshev, and H. Iritani, see also the Gamma theorem for Fλ in Appendix B." @default.
- W2804773351 created "2018-06-01" @default.
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- W2804773351 date "2019-08-01" @default.
- W2804773351 modified "2023-10-17" @default.
- W2804773351 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll id=d1e18 altimg=si10.gif><mml:mi>q</mml:mi></mml:math>-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem" @default.
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- W2804773351 doi "https://doi.org/10.1016/j.geomphys.2019.04.005" @default.
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