5 papers
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…