Hikita conjecture for springer fiber
WebSep 1, 2024 · We introduce a family of varieties , which we call the -Springer varieties, that generalize the type A Springer fibers. We give an explicit presentation of the cohomology … WebCombinatorics 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 …
Hikita conjecture for springer fiber
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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. 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 …
WebModules from xed points Theorem Assume that v 2V be ˜-stable, s.t. [v] 2V == ˜ G is C - xed. F v(n) = ;if n >0 and F v(0) = pt. F v(n) is a nite-dimensional projective variety, if n <0. HC (F v) is a highest weight module with highest weight given by H G ˜C (pt) !H C (V == G) !H C (pt). This establishes the Hikita bijection for those xed points which WebSep 1, 2024 · Springer fibers and the Delta Conjecture at. Sean T. Griffin, Jake Levinson, Alexander Woo. (Submitted on 1 Sep 2024) We introduce a family of varieties , which we call the -Springer varieties, that generalize the type A Springer fibers. We give an explicit presentation of the cohomology ring and show that there is a symmetric group action on ...
WebApr 30, 2024 · We use our construction to partially prove a conjecture of Baumann-Kamnitzer-Knutson and give evidence for conjectures of Hikita, Nakajima, and Kamnitzer-McBreen-Proudfoot. We also prove a relation between BFN Springer fibres and quasimap spaces. Submission history From: Joel Kamnitzer [ view email ] [v1] Thu, 30 Apr 2024 … WebTheorem 1.2. The quantum Hikita conjecture holds for hypertoric varieties and for Springer resolutions (Theorems 6.13 and 7.12). In addition to being interesting in its own right, the …
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 ...
WebWe check that the statement of Hikita conjecture holds for the case ofthe minimal nilpotent orbit of a simple Lie algebra g of type ADE and C / Γ . ... Journal of algebra (1979), 16-38.[2] William Fulton and Joe Harris, Representation theory : A first course , Springer-Verlag, 1991.[3] Hikita Tatsuyuki, An algebra-geometric realization of the ... dundee rfc facebookWebMar 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 … dundee road winter havenWebHikita Conjecture There are many (conjectural) relationships between the Higgs and Coulomb branches; today, we examine the Hikita conjecture. Since Gr G has connected … dundee roll of honourWebAffine 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 … dundee rotary club scotlandWebSep 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 … dundee roofing companiesWebThe Hikita conjecture relates the coordinate ring of a conical symplectic singularity to the cohomology ring of a symplectic resolution of the dual conical symplectic singularity. We … dundee rotary clubrunnerWebJul 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... dundee roofing contractors