8 citations · 33 across the 10 of their papers we have counts for
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Bosonization of Feigin-Odesskii Poisson varieties
Zheng Hua, Alexander Polishchuk
The derived moduli stack of complexes of vector bundles on a Gorenstein Calabi-Yau curve admits a 0-shifted Poisson structure. Feigin-Odesskii Poisson varieties are examples of suc…
Elliptic bihamiltonian structures from relative shifted Poisson structures
Zheng Hua, Alexander Polishchuk
In this paper, generalizing the construction of \cite{HP1}, we equip the relative moduli stack of complexes over a Calabi-Yau fibration (possibly with singular fibers) with a shift…
Cluster categories and rational curves
Zheng Hua, Bernhard Keller
We study rational curves on smooth complex Calabi--Yau threefolds via noncommutative algebra. By the general theory of derived noncommutative deformations due to Efimov, Lunts and…
Shifted Poisson structures and moduli spaces of complexes
Zheng Hua, Alexander Polishchuk
In this paper we study the moduli stack of complexes of vector bundles (with chain isomorphisms) over a smooth projective variety via derived algebraic geometry. We prove that…
Contraction algebra and singularity of three-dimensional flopping contraction
Zheng Hua
In [5], Donovan and Wemyss introduced the contraction algebra of flopping curves in 3-folds. They conjectured that the contraction algebra determines the formal neighborhood of the…
Contraction algebra and invariants of singularities
Zheng Hua, Yukinobu Toda
In [7], Donovan and Wemyss introduced the contraction algebra of flop- ping curves in 3-folds. When the flopping curve is smooth and irreducible, we prove that the contraction alge…
Orientation data on moduli space of sheaves on Calabi-Yau threefold
Zheng Hua
Kontsevich and Soibelman introduced a notion of orientation data on Calabi-Yau category. It can be viewed as a consistent choice of spin structure on moduli space of objects in the…
HOMFLY polynomials, stable pairs and motivic Donaldson-Thomas invariants
D. -E. Diaconescu, Z. Hua, Y. Soibelman
Hilbert scheme topological invariants of plane curve singularities are identified to framed threefold stable pair invariants. As a result, the conjecture of Oblomkov and Shende on…
Chern-Simons functions on toric Calabi-Yau threefolds and Donaldson-Thomas theory
Zheng Hua
In this paper, we give a construction of the global Chern-Simons functions for toric Calabi-Yau stacks of dimension three using strong exceptional collections. The moduli spaces of…
Classification of free actions on complete intersections of four quadrics
Zheng Hua
In this paper we classify all free actions of finite groups on Calabi-Yau complete intersection of 4 quadrics in $\PP^7$, up to projective equivalence. We get some examples of smoo…