6 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…
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 projec…
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…
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…
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…