Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Argüz, Hülya"'
We study webs of 5-branes with 7-branes in Type IIB string theory from a geometric perspective. To any such a web $W$, we attach a log Calabi-Yau surface $(Y,D)$ with a line bundle $L$. We then describe supersymmetric webs, which are webs defining 5d
Externí odkaz:
http://arxiv.org/abs/2410.04714
We prove that every irreducible component of the coarse Koll\'ar-Shepherd-Barron and Alexeev (KSBA) moduli space of stable log Calabi-Yau surfaces is a finite quotient of a projective toric variety. This verifies a conjecture of Hacking-Keel-Yu. The
Externí odkaz:
http://arxiv.org/abs/2402.15117
Autor:
Argüz, Hülya, Bousseau, Pierrick
We prove a correspondence between Donaldson-Thomas invariants of quivers with potential having trivial attractor invariants and genus zero punctured Gromov-Witten invariants of holomorphic symplectic cluster varieties. The proof relies on the compari
Externí odkaz:
http://arxiv.org/abs/2308.07270
Autor:
Argüz, Hülya
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 invariants. This is an exposition of joint work with Pierrick Bousseau.
Externí odkaz:
http://arxiv.org/abs/2303.10811
Autor:
Argüz, Hülya, Bousseau, Pierrick
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 are calculated combinatorially using attractor flow trees. In this paper
Externí odkaz:
http://arxiv.org/abs/2302.02068
Autor:
Argüz, Hülya, Bousseau, Pierrick
Cluster varieties come in pairs: for any $\mathcal{X}$ cluster variety there is an associated Fock-Goncharov dual $\mathcal{A}$ cluster variety. On the other hand, in the context of mirror symmetry, associated with any log Calabi-Yau variety is its m
Externí odkaz:
http://arxiv.org/abs/2206.10584
Autor:
Argüz, Hülya
A log Calabi--Yau surface $(X,D)$ is given by a smooth projective surface $X$, together with an anti-canonical cycle of rational curves $D \subset X$. The homogeneous coordinate ring of the mirror to such a surface, or to the complement $X\setminus D
Externí odkaz:
http://arxiv.org/abs/2112.09082
We provide an inductive algorithm computing Gromov-Witten invariants in all genera with arbitrary insertions of all smooth complete intersections in projective space. We also prove that all Gromov-Witten classes of all smooth complete intersections i
Externí odkaz:
http://arxiv.org/abs/2109.13323
Autor:
Argüz, Hülya
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
Externí odkaz:
http://arxiv.org/abs/2109.08664
Autor:
Argüz, Hülya, Bousseau, Pierrick
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 gener
Externí odkaz:
http://arxiv.org/abs/2102.11200