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 quantum Hikita conjecture relates to various previous conjectures by specializing q. If we set qequal to zero, then Mturns 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
The quantum Hikita conjecture - NASA/ADS
WebOct 1, 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 … WebSep 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 … nottingham to loughborough train times
The quantum Hikita conjecture
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 … 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 ... WebIs 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. … nottingham to london paddington