Stability conditions and Stokes factors
By T. Bridgeland, Valerio Toledano Laredo. 2008
64 citations recorded by the source corpus.
Let ${\mathcal{A}}$ be the category of modules over a complex, finite-dimensional algebra. We show that the space of stability conditions on ${\mathcal{A}}$ parametrises an isomonodromic family of irregular connections on ℙ1 with values in the Hall algebra of ${\mathcal{A}}$. The residues of these connections are given by the holomorphic generating function for counting invariants in ${\mathcal{A}}$ constructed by D. Joyce (in Geom. Topol. 11, 667–725, 2007).
Subfields: Geometry and Topology, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/ddbf1d2f43ff5edf4fc01103c0b8cf4456da680b
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In Geometry and Topology
In Modeling and Simulation
In Statistical and Nonlinear Physics
Citations in the corpus
- Indecomposable vector bundles and stable Higgs bundles over smooth projective curves (2014, background): “, and let Hχ ν be the space of all C-valued constructible functions on the moduli stack Cohν. The space Hχ := L ν H χ ν has the structure of a cocommutative Hopf algebra (see e.g. [L3, Sec. 10.20] or [BTL] ) and is sometimes called the χ-Hall algebra of X. Let Hχ,sph stand for the sub Hopf algebra g”