Hyperbolic localization of intersection cohomology
From MaRDI portal
Publication:1413712
DOI10.1007/s00031-003-0606-4zbMath1026.14005arXivmath/0202251OpenAlexW2020742472MaRDI QIDQ1413712
Publication date: 17 November 2003
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0202251
intersection cohomology sheavesaction of the multiplicative groupcategory of constructible complexes of sheavesderived category of étale sheaveshyperbolic localization
Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)
Related Items
On parabolic restriction of perverse sheaves ⋮ Generalized Springer theory for \(D\)-modules on a reductive Lie algebra ⋮ Perverse sheaves over real hyperplane arrangements ⋮ Fourier-Sato Transform on Hyperplane Arrangements ⋮ The hypertoric intersection cohomology ring ⋮ Unnamed Item ⋮ A formula for the geometric Jacquet functor and its character sheaf analogue ⋮ Twisted geometric Satake equivalence via gerbes on the factorizable grassmannian ⋮ Geometric local theta correspondence for dual reductive pairs of type II at the Iwahori level ⋮ Positivity VS Negativity of Canonical Bases ⋮ Cherkis bow varieties and Coulomb branches of quiver gauge theories of affine type \(A\) ⋮ A geometric setting for quantum 𝔬𝔰𝔭(1|2) ⋮ Kazhdan-Lusztig conjecture via zastava spaces ⋮ Cohomological Hall algebras, vertex algebras and instantons ⋮ Nearby cycles on Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and long intertwining functor ⋮ Geometry of canonical bases and mirror symmetry ⋮ The parity of Lusztig's restriction functor and Green's formula ⋮ On the intersection cohomology of the moduli of SLn$\mathrm{SL}_n$‐Higgs bundles on a curve ⋮ Study of parity sheaves arising from graded Lie algebras ⋮ Towards geometric Satake correspondence for Kac-Moody algebras --- Cherkis bow varieties and affine Lie algebras of type $A$ ⋮ Deligne–Lusztig duality on the moduli stack of bundles ⋮ Affine flag varieties and quantum symmetric pairs ⋮ Constant term functors with \(\mathbb{F}_p\)-coefficients ⋮ The semi-infinite intersection cohomology sheaf ⋮ Enveloping algebras and geometric representation theory. Abstracts from the workshop held October 31 -- November 6, 2021 (hybrid meeting) ⋮ Ringel duality for perverse sheaves on hypertoric varieties ⋮ Quiver varieties and symmetric pairs ⋮ Notes on the Geometric Satake Equivalence ⋮ Spaces with 𝔾_{𝕞}-action, hyperbolic localization and nearby cycles ⋮ Parity sheaves, moment graphs and the \(p\)-smooth locus of Schubert varieties ⋮ The test function conjecture for parahoric local models ⋮ Deligne-Lusztig duality on the stack of local systems ⋮ Koszul duality for quasi-split real groups ⋮ Picard-Lefschetz oscillators for the Drinfeld-Lafforgue-Vinberg degeneration for \(\mathrm{SL}_2\) ⋮ On a theorem of Braden ⋮ Exotic symmetric space over a finite field. III ⋮ Ringel-Hall algebras beyond their quantum groups. I: Restriction functor and Green formula ⋮ Modular generalized Springer correspondence. I: The general linear group ⋮ Integrable crystals and restriction to Levi subgroups via generalized slices in the affine Grassmannian ⋮ Geometric constant term functor(s) ⋮ Nonsplit Hecke algebras and perverse sheaves ⋮ Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space ⋮ Formality and Lusztig's generalized Springer correspondence ⋮ Parity sheaves and Smith theory ⋮ Smith theory and geometric Hecke algebras ⋮ Moduli of metaplectic bundles on curves and Theta-sheaves ⋮ Mirabolic Satake equivalence and supergroups ⋮ Constructible sheaves on affine Grassmannians and geometry of the dual nilpotent cone ⋮ Morse Theory, Stratifications and Sheaves ⋮ Intersection complexes and unramified 𝐿-factors ⋮ Smith-Treumann theory and the linkage principle ⋮ Perverse sheaves over real hyperplane arrangements. II ⋮ Geometric Satake, Springer correspondence, and small representations II ⋮ Towards combinatorial invariance for Kazhdan-Lusztig polynomials ⋮ Bessel \(F\)-isocrystals for reductive groups
