41 citations · 153 across the 15 of their papers we have counts for
4 papers · 1 filter
Stability conditions and Teichmüller space
Dylan G. L. Allegretti
We consider a 3-Calabi-Yau triangulated category associated to an ideal triangulation of a marked bordered surface. Using the theory of harmonic maps between Riemann surfaces, we c…
On the wall-crossing formula for quadratic differentials
Dylan G. L. Allegretti
We prove an analytic version of the Kontsevich-Soibelman wall-crossing formula describing how the number of finite-length trajectories of a quadratic differential jumps as the diff…
The monodromy of meromorphic projective structures
Dylan G. L. Allegretti, Tom Bridgeland
We study projective structures on a surface having poles of prescribed orders. We obtain a monodromy map from a complex manifold parameterising such structures to the stack of fram…
Laminations from the symplectic double
Dylan G. L. Allegretti
Let be a compact oriented surface with boundary together with finitely many marked points on the boundary, and let be the same surface equipped with the opposite orie…