31 citations · 75 across the 10 of their papers we have counts for
10 papers
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 by…
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…
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…
S-duality and the universal isometries of instanton corrected q-map spaces
Vicente Cortés, Iván Tulli
Given a conical affine special Kähler (CASK) manifold together with a compatible mutually local variation of BPS structures, one can construct a quaternionic-Kähler (QK) manifold.…
Quantum Curves, Resurgence and Exact WKB
Murad Alim, Lotte Hollands, Iván Tulli
We study the non-perturbative quantum geometry of the open and closed topological string on the resolved conifold and its mirror. Our tools are finite difference equations in the o…
S-duality and the universal isometries of q-map spaces
Vicente Cortés, Iván Tulli
The tree-level q-map assigns to a projective special real (PSR) manifold of dimension , a quaternionic Kähler (QK) manifold of dimension . It is known that the res…
Mathematical structures of non-perturbative topological string theory: from GW to DT invariants
Murad Alim, Arpan Saha, Joerg Teschner +1
We study the Borel summation of the Gromov-Witten potential for the resolved conifold. The Stokes phenomena associated to this Borel summation are shown to encode the Donaldson-Tho…
A Hyperkähler geometry associated to the BPS structure of the resolved conifold
Murad Alim, Arpan Saha, Iván Tulli
We associate to the resolved conifold an affine special Kähler (ASK) manifold of complex dimension 1, and an instanton corrected hyperkähler (HK) manifold of complex dimension 2. W…
Quaternionic Kähler metrics associated to special Kähler manifolds with mutually local variations of BPS structures
Vicente Cortés, Iván Tulli
We construct a quaternionic-Kähler manifold from a conical special Kähler manifold with a certain type of mutually-local variation of BPS structures. We give global and local expli…
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 propos…