Lectures on Nakajima's Quiver Varieties

Abstract

This is an expanded version of lectures given at a Summer School "Geometric methods in Representation Theory" (Grenoble, 2008).

40pp

References in corpus (4)

• Quiver Varieties and Branching
• Quiver varieties and Beilinson-Drinfeld Grassmannians of type A
• Harish-Chandra bimodules for quantized Slodowy slices
• Some remarks on Nakajima's quiver varieties of type A

Cited by in corpus (45)

• Cohomological Hall algebras, vertex algebras and instantons
• The cohomological Hall algebra of a preprojective algebra
• Baxter Q-operator from quantum K-theory
• Birational models of moduli spaces of coherent sheaves on the projective plane
• 3d Mirror Symmetry and Elliptic Stable Envelopes
• On two cohomological Hall algebras
• Gauge/Bethe correspondence from quiver BPS algebras
• Quiver flag varieties and multigraded linear series
• On the number of points of nilpotent quiver varieties over finite fields
• Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
• Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces
• qKZ/tRS Duality via Quantum K-Theoretic Counts
• Quantum Witten localization and abelianization for qde solutions
• BPS Wilson loops and quiver varieties
• Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form
• BFN Springer Theory
• Branes in the moduli space of framed instantons
• Symplectic Duality of $T^{\ast }Gr(k,n)$
• Nested Punctual Hilbert Schemes and Commuting Varieties of Parabolic Subalgebras
• Singularities of nilpotent orbit closures
• Symplectic resolutions of character varieties
• On Supersymmetric Interface Defects, Brane Parallel Transport, Order-Disorder Transition and Homological Mirror Symmetry
• Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems
• Parallels between moduli of quiver representations and vector bundles over curves
• Moduli spaces of framed sheaves and quiver varieties
• An introduction to associative geometry with applications to integrable systems
• Intersection cohomology of rank two character varieties of surface groups
• Stable quasimaps to holomorphic symplectic quotients
• Capped vertex with descendants for zero dimensional $A_{\infty }$ quiver varieties
• Moduli space of homologically trivial parabolic (Higgs) bundles on the projective line and applications
• A Superconformal Index for HyperKähler Cones
• Hilbert schemes of points of ${\mathcal{O}}_{{\mathbb{P}}^1}(-n)$ as quiver varieties
• Comparing two perfect bases
• Semi-invariants of filtered quiver representations with at most two pathways
• Homology of twisted quiver bundles with relations
• Quasimaps to zero-dimensional $A_{\infty }$-quiver varieties
• Shuffle products for elliptic stable envelopes of Nakajima varieties
• Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry
• Hypertoric geometry and Gromov-Witten theory
• Affinizations of Lorentzian Kac-Moody Algebras and Hilbert Schemes of Points on K3 Surfaces
• Motivic classes of Quot-schemes on surfaces
• Non-commutative crepant resolution of minimal nilpotent orbit closures of type A and Mukai flops
• Suggestions to study affine and GIT quotients of the extended Grothendieck--Springer resolution
• Linear data for framed sheaves via exceptional sequences
• Imploded cross-sections