7 papers
A quantized Riemann-Hilbert problem in Donaldson-Thomas theory
Anna Barbieri, Tom Bridgeland, Jacopo Stoppa
We introduce Riemann-Hilbert problems determined by refined Donaldson-Thomas theory. They involve piecewise holomorphic maps from the complex plane to the group of automorphisms of…
Clusters, twistors and stability conditions I
Tom Bridgeland, Helge Ruddat
We consider a quiver of ADE type and use cluster combinatorics to define two complex manifolds and . The space can be identified with a qu…
Joyce structures and poles of Painlevé equations
Tom Bridgeland, Fabrizio Del Monte
Joyce structures are a class of geometric structures that first arose in relation to Donaldson-Thomas theory. There is a special class of examples, called class , whose und…
Tau Functions from Joyce Structures
Tom Bridgeland
We argued in [Proc. Sympos. Pure Math., Vol. 103, American Mathematical Society, Providence, RI, 2021, 1-66, arXiv:1912.06504] that, when a certain sub-exponential growth property…
Joyce structures and their twistor spaces
Tom Bridgeland
Joyce structures are a class of geometric structures which first arose in relation to holomorphic generating functions for Donaldson-Thomas invariants. They can be thought of as no…
Joyce structures on spaces of quadratic differentials
Tom Bridgeland
Consider the space parameterising curves of genus g>1 equipped with a quadratic differential with simple zeroes. We use the geometry of isomonodromic deformations to construct a co…