Parallels between moduli of quiver representations and vector bundles over curves
DOI10.3842/SIGMA.2018.127zbMath1460.14030arXiv1809.05738OpenAlexW2902873521WikidataQ128827062 ScholiaQ128827062MaRDI QIDQ1755877
Publication date: 11 January 2019
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.05738
geometric invariant theoryalgebraic moduli problemsrepresentation theory of quiversvector bundles and Higgs bundles on curves
Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Representations of quivers and partially ordered sets (16G20) Vector bundles on curves and their moduli (14H60)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Real structures on moduli spaces of Higgs bundles
- Every projective variety is a quiver Grassmannian.
- Higgs bundles and \((A,B,A)\)-branes
- Hall algebras of curves, commuting varieties and Langlands duality
- Anti-holomorphic involutions of the~moduli~spaces of Higgs bundles
- Algebraic geometry and analytic geometry
- Asymptotic of the solution of a nonlinear equation in the neighborhood of an angular point of the boundary
- A functorial construction of moduli of sheaves
- Kac's conjecture from Nakajima quiver varieties.
- Electric-magnetic duality and the geometric Langlands program
- Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
- Hyperkähler metrics and supersymmetry
- Infinite root systems, representations of graphs and invariant theory
- Higgs bundles and local systems
- Chevalley groups over function fields and automorphic forms
- On the cohomology groups of moduli spaces of vector bundles on curves
- Reduction of symplectic manifolds with symmetry
- Lectures on introduction to moduli problems and orbit spaces
- Moduli of representations of the fundamental group of a smooth projective variety. I
- Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
- The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
- A new proof of a theorem of Narasimhan and Seshadri
- Absolutely indecomposable representations and Kac-Moody Lie algebras. (With an appendix by Hiraku Nakajima).
- Noncommutative projective curves and quantum loop algebras
- Semistable sheaves in positive characteristic
- Positivity for Kac polynomials and DT-invariants of quivers.
- Counting representations of quivers over finite fields
- Some theorems on actions of algebraic groups
- Branes in the moduli space of framed sheaves
- Stable and unitary vector bundles on a compact Riemann surface
- Space of unitary vector bundles on a compact Riemann surface
- Rational points of quiver moduli spaces
- Pseudo-real principalG-bundles over a real curve
- STRATIFICATIONS ASSOCIATED TO REDUCTIVE GROUP ACTIONS ON AFFINE SPACES
- Cohomology of large semiprojective hyperkaehler varieties
- Semisimple Representations of Quivers
- Group actions on quiver varieties and applications
- Classification of the automorphism and isometry groups of Higgs bundle moduli spaces
- A Stratification of the Null Cone Via the Moment Map
- The Self-Duality Equations on a Riemann Surface
- Geometric Invariant Theory
- MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
- COXETER FUNCTORS AND GABRIEL'S THEOREM
- QUIVER REPRESENTATIONS RESPECTING A QUIVER AUTOMORPHISM: A GENERALISATION OF A THEOREM OF KAC
- On the existence of hermitian-yang-mills connections in stable vector bundles
- The Yang-Mills equations over Riemann surfaces
- Motivic Donaldson–Thomas invariants and the Kac conjecture
- Cohomological Hall algebra of Higgs sheaves on a curve
- Lectures on Nakajima's Quiver Varieties
- Counting Higgs bundles and type quiver bundles
- Characteristic Classes of Stable Bundles of Rank 2 Over an Algebraic Curve
- Indecomposable vector bundles and stable Higgs bundles over smooth projective curves
- The integrality conjecture and the cohomology of preprojective stacks
This page was built for publication: Parallels between moduli of quiver representations and vector bundles over curves