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20112025
most citedMathematical structures of non-perturbative topological string theory: from GW to DT invariants

31 citations · 89 across the 12 of their papers we have counts for

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13 papers

physics.flu-dyn2025★ 2 cited

Vortex Dynamics in Tubular Fluid Membranes

Udaya Maurya, Surya Teja Gavva, Arpan Saha +1

Thin cylindrical membranes arise in a wide variety of biological systems ranging from tubular structures on and within cell membranes to in-vitro experiments on artificial vesicles…

math.DG2022★ 1 cited

A class of locally inhomogeneous complete quaternionic Kähler manifolds

Vicente Cortés, Alejandro Gil-García, Arpan Saha

We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry g…

math.DG2022

Hermitian structures on a class of quaternionic Kähler manifolds

V. Cortés, A. Saha, D. Thung

Any quaternionic Kähler manifold equipped with a Killing vector field with nowhere vanishing quaternionic moment map carries an integrable almo…

hep-th2021★ 31 cited

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…

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

Four-dimensional Einstein manifolds with Heisenberg symmetry

Vicente Cortés, Arpan Saha

We classify Einstein metrics on invariant under a four-dimensional group of isometries including a principal action of the Heisenberg group. The metrics are either R…