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20192026
most citedMathematical structures of non-perturbative topological string theory: from GW to DT invariants

31 citations · 75 across the 10 of their papers we have counts for

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7 papers · 1 filter

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 by…

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…

math.DG2023★ 2 cited

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.…

math.DG2022

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…

math.DG2021★ 5 cited

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…

math.DG2021★ 9 cited

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…

math.DG2019★ 2 cited

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…