4 papers
math.DG2026
Towards resurgence of Joyce structures
Iván Tulli
Given a Joyce structure, we show that the associated -family of non-linear connections can be gauged to a standard form …
math.DG2025
The Ooguri-Vafa Space as a Moduli Space of Framed Wild Harmonic Bundles
Iván Tulli
The Ooguri-Vafa space is a 4-dimensional incomplete hyperkähler manifold, defined on the total space of a singular torus fibration with one singular nodal fiber. It has been propo…
hep-th2024
Resurgence and Riemann-Hilbert problems for elliptic Calabi-Yau threefolds
Tom Bridgeland, Iván Tulli
Let be a Calabi-Yau threefold with an elliptic fibration. We investigate the non-linear Riemann-Hilbert problems associated to the Donaldson-Thomas theory of fibre classes, and…
math.DG2024
Special Joyce structures and hyperkähler metrics
Iván Tulli
Joyce structures were introduced by T. Bridgeland in the context of the space of stability conditions of a three-dimensional Calabi-Yau category and its associated Donaldson-Thomas…