Stability conditions and Stokes factors

DOI10.1007/s00222-011-0329-4zbMath1239.14008arXiv0801.3974OpenAlexW1974796134MaRDI QIDQ663303

Tom Bridgeland, Valerio Toledano Laredo

Publication date: 14 February 2012

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3974

zbMATH Keywords

stability conditionsRingel-Hall algebraabelian categorywall crossingcounting invariantsStokes factors

Mathematics Subject Classification ID

Related Items

Scattering diagrams from asymptotic analysis on Maurer-Cartan equations, Complex hyperkähler structures defined by Donaldson-Thomas invariants, Wall-crossing made smooth, Stokes phenomenon and Poisson brackets in r-matrix form, Pearcey integrals, Stokes lines and exact baryonic layers in the low energy limit of QCD, Topological recursion and uncoupled BPS structures. II: Voros symbols and the \(\tau\)-function, Degenerate versions of Green's theorem for Hall modules, Joyce-Song wall crossing as an asymptotic expansion, Riemann-Hilbert problems from Donaldson-Thomas theory, Stability data, irregular connections and tropical curves, Stable pairs, flat connections and Gopakumar-Vafa invariants, Stokes phenomenon, Gelfand-Zeitlin systems and relative Ginzburg-Weinstein linearization, Four-dimensional wall-crossing via three-dimensional field theory, Indecomposable vector bundles and stable Higgs bundles over smooth projective curves, Perverse coherent sheaves on blow-up. II. Wall-crossing and Betti numbers formula, A Riemann-Hilbert problem for uncoupled BPS structures, Feynman graphs, rooted trees, and Ringel-Hall algebras, Topological recursion and uncoupled BPS structures. I: BPS spectrum and free energies, Riemann-Hilbert problems for the resolved conifold and non-perturbative partition functions, Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Configurations in abelian categories. II: Ringel-Hall algebras
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Hall algebras and quantum groups
• Chern classes for singular algebraic varieties
• Lie algebras generated by indecomposables
• The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
• Stokes matrices, Poisson Lie groups and Frobenius manifolds.
• Kleinian singularities, derived categories and Hall algebras
• Configurations in abelian categories. IV: Invariants and changing stability conditions
• Holomorphic generating functions for invariants counting coherent sheaves on Calabi-Yau 3-folds
• Stability conditions on triangulated categories
• Stokes factors and multilogarithms
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Symplectic manifolds and isomonodromic deformations