3 papers
math.DG2026
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…
math.AG2026
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…
math.AG2025
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…