Polynomial Bridgeland stability conditions and the large volume limit
From MaRDI portal
Publication:1022521
DOI10.2140/gt.2009.13.2389zbMath1171.14011arXiv0712.1083OpenAlexW3104426362MaRDI QIDQ1022521
Publication date: 22 June 2009
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.1083
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Algebraic moduli problems, moduli of vector bundles (14D20)
Related Items
Hilbert schemes and stable pairs: GIT and derived category wall crossings ⋮ A relation between higher-rank PT-stable objects and quotients of coherent sheaves ⋮ Fourier-Mukai transforms of slope stable torsion-free sheaves on Weierstrass elliptic threefolds ⋮ Bridgeland's stabilities on abelian surfaces ⋮ Inducing stability conditions ⋮ Donaldson–Thomas Invariants and Wall-Crossing Formulas ⋮ Projectivity and birational geometry of Bridgeland moduli spaces ⋮ Stability conditions and extremal contractions ⋮ Stability conditions for polarised varieties ⋮ Representing stable complexes on projective spaces ⋮ INTRINSIC STABILIZER REDUCTION AND GENERALIZED DONALDSON–THOMAS INVARIANTS ⋮ Geometry of canonical genus 4 curves ⋮ Stability conditions and curve counting invariants on Calabi-Yau 3-folds ⋮ Moduli of Bridgeland semistable objects on 3-folds and Donaldson-Thomas invariants ⋮ Stability and Fourier-Mukai transforms on elliptic fibrations ⋮ The space of stability conditions on the local projective plane ⋮ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations ⋮ Moduli of PT-semistable objects. I ⋮ Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities ⋮ The wall-crossing behavior for Bridgeland's stability conditions on abelian and \(K3\) surfaces ⋮ Stable pairs and BPS invariants ⋮ Limit stable objects on Calabi-Yau 3-folds ⋮ Curve counting invariants for crepant resolutions ⋮ Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics ⋮ The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds ⋮ Bridgeland stability on threefolds: Some wall crossings ⋮ Curve counting via stable pairs in the derived category ⋮ Moduli of PT-semistable objects II ⋮ Fourier-Mukai transforms of slope stable torsion-free sheaves on a product elliptic threefold
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A point's point of view of stringy geometry
- Stability conditions on a non-compact Calabi-Yau threefold
- Birational Calabi-Yau threefolds and BPS state counting
- Donaldson-Thomas type invariants via microlocal geometry
- Curve counting via stable pairs in the derived category
- Stability for an abelian category
- Toward a definition of moduli of complexes of coherent sheaves on a projective scheme.
- Projectivity of complete moduli
- Flops of \(G\)-Hilb and equivalences of derived categories by variation of GIT quotient
- Bridgeland-stable moduli spaces for \(K\)-trivial surfaces
- Limit stable objects on Calabi-Yau 3-folds
- Configurations in abelian categories. IV: Invariants and changing stability conditions
- Stability conditions on curves
- Stability conditions on \(K3\) surfaces
- Stability conditions on triangulated categories
- Moduli stacks and invariants of semistable objects on \(K3\) surfaces
- Reconstruction of a variety from the derived category and groups of autoequivalences
- STABILITY CONDITIONS ON GENERIC COMPLEX TORI
- Perverse coherent sheaves
- Inducing stability conditions
- Moduli of complexes on a proper morphism
- Stability manifold of ℙ¹
- Stability conditions and crepant small resolutions
- Stable pairs and BPS invariants
- t-stabilities and t-structures on triangulated categories
- Tilting in abelian categories and quasitilted algebras
- Derived categories of irreducible projective curves of arithmetic genus one
- Gromov–Witten theory and Donaldson–Thomas theory, I
- Stability conditions for generic K3 categories