6 citations · 16 across the 6 of their papers we have counts for
6 papers
Log Calabi-Yau compactifications of character varieties
Hülya Argüz, Pierrick Bousseau
We prove that the character varieties of compact oriented surfaces and the generic relative character varieties of punctured surfaces admit di…
Fock-Goncharov dual cluster varieties and Gross-Siebert mirrors
Hülya Argüz, Pierrick Bousseau
Cluster varieties come in pairs: for any cluster variety there is an associated Fock-Goncharov dual cluster variety. On the other hand, in the context o…
Equations of mirrors to log Calabi--Yau pairs via the heart of canonical wall structures
Hülya Argüz
Gross and Siebert developed a program for constructing in arbitrary dimension a mirror family to a log Calabi--Yau pair , consisting of a smooth projective variety with…
The flow tree formula for Donaldson-Thomas invariants of quivers with potentials
Hülya Argüz, Pierrick Bousseau
We prove the flow tree formula conjectured by Alexandrov and Pioline which computes Donaldson-Thomas invariants of quivers with potentials in terms of a smaller set of attractor in…
On the cohomology groups of real Lagrangians in Calabi-Yau threefolds
Hülya Argüz, Thomas Prince
The quintic threefold is the most studied Calabi-Yau -fold in the mathematics literature. In this paper, using Čech-to-derived spectral sequences, we investigate the mod …
Real Lagrangians in Calabi-Yau Threefolds
Hülya Argüz, Thomas Prince
We compute the mod cohomology groups of real Lagrangians in Calabi-Yau threefolds using well-behaved torus fibrations constructed by Gross. To do this we study a long exact seq…