Moduli of vector bundles on higher-dimensional base manifolds — Construction and variation
DOI10.1142/S0129167X16500543zbMath1348.14027arXiv1503.00319MaRDI QIDQ5739773
Daniel Greb, Julius Ross, Matei Toma
Publication date: 20 July 2016
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.00319
moduli of quiver representationswall-crossingDonaldson-Uhlenbeck compactificationsheaves on Kähler manifoldsvariation of Gieseker-moduli spaces
Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Geometric invariant theory (14L24) Moduli problems for differential geometric structures (58D27) Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Representations of quivers and partially ordered sets (16G20)
Cites Work
- A wall crossing formula of Donaldson-Thomas invariants without Chern-Simons functional
- Recasting results in equivariant geometry
- Compactified Jacobians and Torelli map
- Equivalence classes of polarizations and moduli spaces of sheaves
- Algebraic geometric interpretation of Donaldson's polynomial invariants
- Polynomial invariants for smooth four-manifolds
- Configurations in abelian categories. II: Ringel-Hall algebras
- A functorial construction of moduli of sheaves
- Compactifying the Picard scheme
- Fonctions différentiables invariantes sous l'opération d'un groupe réductif
- Comparison of the Donaldson polynomial invariants with their algebro- geometric analogues
- Stability for an abelian category
- Irreducibility of the punctual quotient scheme of a surface
- Walls of Gieseker semistability and the Mumford-Thaddeus principle for moduli spaces of sheaves over higher dimensional bases
- Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
- A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
- Global moduli spaces and simple holomorphic bundles
- Semistable sheaves in positive characteristic
- Gauge theory and calibrated geometry. I
- Configurations in abelian categories. III: Stability conditions and identities
- Configurations in abelian categories. IV: Invariants and changing stability conditions
- Configurations in abelian categories. I: Basic properties and moduli stacks
- Relations between the Kähler cone and the balanced cone of a Kähler manifold
- Space of unitary vector bundles on a compact Riemann surface
- Hilbert schemes and stable pairs: GIT and derived category wall crossings
- Geometric stability of the cotangent bundle and the universal cover of a projective manifold
- Rationally connected foliations after Bogomolov and McQuillan
- FAMILIES OF HOLOMORPHIC BUNDLES
- MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
- Mumford–Thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic Surface
- VARIATION OF THE GIESEKER AND UHLENBECK COMPACTIFICATIONS
- The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
- Geometric invariant theory and flips