Spaces of stability conditions

Abstract

Stability conditions are a mathematical way to understand $\Pi$-stability for D-branes in string theory. Spaces of stability conditions seem to be related to moduli spaces of conformal field theories. This is a survey article describing what is currently known about spaces of stability conditions, and giving some pointers for future research.

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Cited by in corpus (30)

• Calabi-Yau algebras
• D-brane Deconstructions in IIB Orientifolds
• A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space
• Stability conditions and quantum dilogarithm identities for Dynkin quivers
• Stability conditions and Stokes factors
• Cusps of the Kähler moduli space and stability conditions on K3 surfaces
• Conway Subgroup Symmetric Compactifications Of Heterotic String
• $q$-Stability conditions via $q$-quadratic differentials for Calabi-Yau-$\mathbb{X}$ categories
• Riemann-Hilbert problems for the resolved conifold
• Stability Conditions and Branes at Singularities
• The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus
• Serre-invariant stability conditions and Ulrich bundles on cubic threefolds
• Automorphisms and autoequivalences of generic analytic K3 surfaces
• On the 0-dimensional cusps of the Kahler moduli of a K3 surface
• Knot Categorification from Mirror Symmetry, Part I: Coherent Sheaves
• Stability conditions and crepant small resolutions
• Moduli stacks and invariants of semistable objects on K3 surfaces
• Fourier-Mukai partners and polarised K3 surfaces
• Topologies on a triangulated category
• Knot Categorification from Mirror Symmetry, Part II: Lagrangians
• Stability conditions and braid group actions on affine $A_n$ quivers
• Systolic inequalities for K3 surfaces via stability conditions
• Quotient categories, stability conditions, and birational geometry
• Joyce invariants for K3 surfaces and mock theta functions
• Fourier-Mukai partners of a K3 surface and the cusps of its Kahler moduli
• Spaces of stability conditions via exceptional collection: length 4 case
• On Gromov-Yomdin type theorems and a categorical interpretation of holomorphicity
• Systolic inequalities, Ginzburg dg algebras and Milnor fibers
• Wall-Crossing implies Brill-Noether. Applications of stability conditions on surfaces
• Gamma integral structure for an invertible polynomial of chain type