8 citations · 21 across the 13 of their papers we have counts for
13 papers
B-complex manifolds with generalized corners. I. Newlander-Nirenberg Theorems
Hülya Argüz, Dominic Joyce
We generalize complex manifolds to manifolds with corners , and to manifolds with generalized corners (g-corners) in the sense of the second author arXiv:1501.00401, using compl…
Mock modularity of log Gromov--Witten Invariants: the mirror to
Hülya Argüz
We study modularity properties of generating series of logarithmic Gromov-Witten invariants of elliptic fibrations relative to singular fibers. Motivated by predictions from Vafa-W…
BPS polynomials and Welschinger invariants
Hülya Argüz, Pierrick Bousseau
We generalize Block-Göttsche polynomials, originally defined for toric del Pezzo surfaces, to arbitrary surfaces. To do this, we show that these polynomials arise as special cases…
The KSBA moduli space of stable log Calabi-Yau surfaces
Valery Alexeev, Hülya Argüz, Pierrick Bousseau
We prove that every irreducible component of the coarse Kollár-Shepherd-Barron and Alexeev (KSBA) moduli space of stable log Calabi--Yau surfaces admits a finite cover by a project…
Quivers and curves in higher dimension
Hülya Argüz, Pierrick Bousseau
We prove a correspondence between Donaldson-Thomas invariants of quivers with potential having trivial attractor invariants and genus zero punctured Gromov-Witten invariants of hol…
Quiver DT Invariants and Log Gromov--Witten Theory of Toric Varieties
Hülya Argüz
We review how log Gromov--Witten invariants of toric varieties can be used to express quiver Donaldson--Thomas invariants in terms of the simpler attractor Donaldson--Thomas invari…
Quivers, Flow Trees, and Log Curves
Hülya Argüz, Pierrick Bousseau
Donaldson-Thomas (DT) invariants of a quiver with potential can be expressed in terms of simpler attractor DT invariants by a universal formula. The coefficients in this formula ar…
The Quantum Mirror to the Quartic del Pezzo Surface
Hülya Argüz
A log Calabi--Yau surface is given by a smooth projective surface , together with an anti-canonical cycle of rational curves . The homogeneous coordinate ri…
The Higher Dimensional Tropical Vertex
Hülya Argüz, Mark Gross
We study log Calabi-Yau varieties obtained as a blow-up of a toric variety along hypersurfaces in its toric boundary. Mirrors to such varieties are constructed by Gross-Siebert fro…
Topological torus fibrations on Calabi--Yau manifolds via Kato--Nakayama spaces
Hülya Argüz
This is an expository article on the Gross--Siebert approach to mirror symmetry and its interactions with the Strominger--Yau--Zaslow conjecture from a topological perspective.
A Note on Schoen's Calabi--Yau Threefolds
Hülya Argüz, Thomas Prince
We study the topology of a real Lagrangian in Schoen's Calabi--Yau threefold and compute its mod cohomology using two methods; first via a concrete Mayer--Vietoris calculat…
Mirror symmetry for the Tate curve via tropical and log corals
Hülya Argüz
We introduce tropical corals, balanced trees in a half-space, and show that they correspond to holomorphic polygons capturing the product rule in Lagrangian Floer theory for the el…
Real loci in (log-) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations
Hülya Argüz
We study the real loci of toric degenerations of complex varieties with reducible central fibre. We show that the topology of such degenerations can be explicitly described via the…