Equations of mirrors to log Calabi–Yau pairs via the heart of canonical wall structures

Autor: HÜLYA ARGÜZ

Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. :1-41

Gross and Siebert developed a program for constructing in arbitrary dimension a mirror family to a log Calabi–Yau pair (X, D), consisting of a smooth projective variety X with a normal-crossing anti-canonical divisor D in X. In this paper, we provi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::73b16daeede8241fe1daa1c71c275d7d
https://doi.org/10.1017/s030500412300021x

The flow tree formula for Donaldson–Thomas invariants of quivers with potentials

Autor: Hülya Argüz, Pierrick Bousseau

Publikováno v: Compositio Mathematica. 158:2206-2249

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 invariants. This result is obtained as a particular case of a more ge

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::89e8ab857b42b854b8bc59f5b07287c9
https://doi.org/10.1112/s0010437x22007801

Real Lagrangians in Calabi-Yau Threefolds

Autor: Hülya Argüz, Thomas Prince

Publikováno v: Proceedings of the London Mathematical Society
Proceedings of the London Mathematical Society, London Mathematical Society, 2020, 121 (2), pp.287-311. ⟨10.1112/plms.12324⟩

We compute the mod $2$ 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 sequence introduced by Casta\~{n}o-Bernard and Matessi, which relates the

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Real loci in (log-) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations

Autor: Hülya Argüz

Publikováno v: European Journal of Mathematics

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 Kato-Nakayama space of the central fibre as a log space. We furthermo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92dcc2b1003f28c94760b4f34ab738a2
http://arxiv.org/abs/1610.07195