6 papers · 1 filter
Toric mirrors and test configurations
Jacopo Stoppa
We obtain results that relate Donaldson-Futaki type invariants (that is, the numerical invariants used to define K-stability for general polarised manifolds) for a toric polarised…
Special Lagrangian sections and stability conditions on threefolds
Jacopo Stoppa
We study a class of Lagrangian submanifolds, given by sections of a special Lagrangian fibration, contained in certain almost Calabi-Yau threefolds (mirrors of polarised toric thre…
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…
Some applications of canonical metrics to Landau-Ginzburg models
Jacopo Stoppa
It is known that a given smooth del Pezzo surface or Fano threefold admits a choice of log Calabi-Yau compactified mirror toric Landau-Ginzburg model (with respect to certain f…
Scattering diagrams and Jeffrey-Kirwan residues
Sara Angela Filippini, Jacopo Stoppa
We show that the consistent completion of an initial scattering diagram in (for a finite rank lattice ) can be expressed quite generally in terms of the Jeffrey…
K-stability and large complex structure limits
Jacopo Stoppa
We discuss how, under suitable assumptions, a Kähler test configuration admits a mirror Landau-Ginzburg model, giving a corresponding expression for the Donaldson-Futaki invariant…