Hikita conjecture for springer fiber
WebThis was proven by Hikita for Springer resolution (actually De Concini-Procesi) HilbnC2=C2 Finite type A quiver varieties and Gr G slices Hypertoric varieties Here is a special case of Hikita’s conjecture in degree 2: H2(Xe!) ’C[X]2 0 ’Lie(T) via the moment map: Our next aim is a fancier version of Hikita’s conjecture in which the ... WebWith McBreen and Proudfoot, we formulated a quantum cohomology version of the Hikita conjecture between symplectic dual pairs. With Hilburn and Weekes, we studied a Springer theory based on the BFN construction. The quantum Hikita Conjecture, with M. McBreen and N. Proudfoot, Advances Math. BFN Springer Theory, with J. Hilburn and A. Weekes.
Hikita conjecture for springer fiber
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WebHikita conjecture for the minimal nilpotent orbit Pavel Shlykov Department of Mathematics, University of Toronto, Toronto, Ontario, Canada. Abstract. We check that the statement of Hikita conjecture holds for the case of the minimal nilpotent orbit of a simple Lie algebra g of type ADE and C2/Γ. 1. Introduction WebOct 29, 2024 · The quantum Hikita conjecture holds for hypertoric varieties and for Springer resolutions(Theorem 6.13, Theorem 7.17). In addition to being interesting in its own right, …
WebJul 25, 2024 · We formulate a quantum version of this conjecture, which relates the quantized coordinate ring of the first variety to the quantum cohomology of a symplectic resolution of the dual variety. We... WebSep 26, 2024 · Abstract. We prove a conjecture which expresses the bigraded Poisson-de Rham homology of the nilpotent cone of a semisimple Lie algebra in terms of the generalized (one-variable) Kostka polynomials, via a formula suggested by Lusztig. This allows us to construct a canonical family of filtrations on the flag variety cohomology, and …
WebConjecture 1. The D-module of graded traces for X, after restricting to the appropriate open subset, becomes isomorphic to the specialized quantum D-module for X~!. Remark 2. By taking bers over the T- xed point, Conjecture 1 specializes to a version of Nakajima’s extension of the Hikita conjecture [KTW+, 8.9], which relates the B-algebra of ... WebTheorem 1.2. The quantum Hikita conjecture holds for hypertoric varieties and for Springer resolutions (Theorems 6.13 and 7.17). In addition to being interesting in its own right, the …
WebCategory O, symplectic duality, and the Hikita conjecture: Lecture 3 Nicholas Proudfoot Recall X~ !Xconical symplectic resolution, and algebra A ~, the Rees algebra of the …
WebAffine Springer fibers of type A and combinatorics of diagonal coinvariants Tatsuyuki Hikita∗ Abstract We calculate the Borel-Moore homology of affine Springer fibers of type … phone backs for samsungWebCombinatorics of the Cell Decomposition of A ne Springer Fibers Hikita’s Representation Overview 1 A ne Springer Fiber 2 A ne Symmetric Group 3 Hikita’s Representation 4 … phone backpacksWebHikita Conjecture There are many (conjectural) relationships between the Higgs and Coulomb branches; today, we examine the Hikita conjecture. Since Gr G has connected … how do you inverse a functionWebIs the first introductory textbook for the Iitaka conjecture. Gives a simple new proof of Viehweg's conjecture for fiber spaces whose geometric generic fiber is of general type. … how do you invert a matrixWebSep 26, 2024 · We deduce consequences for the cohomology of all Springer fibers. In particular, this computes the grading on the zeroth Poisson homology of all classical … how do you invertWebMar 27, 2012 · Affine Springer fibers of type A and combinatorics of diagonal coinvariants Authors: Tatsuyuki Hikita Request full-text Abstract We calculate the Borel-Moore … how do you invert a fractionphone backup software for factory reset