4 papers
Yau's number-theoretic conjecture and sharp spectral bounds for quantum harmonic oscillators
Zhiwen Liu, Stephen S. -T. Yau, Hao Zuo
We prove Yau's number-theoretic conjecture on positive integral points in real right simplices in every dimension , and apply the resulting sharp polynomial bound to quantum…
Fourier-Mukai partners and autoequivalences of moduli spaces of vector bundles
Haotian Zuo
We classify the smooth projective Fourier--Mukai partners and determine the derived autoequivalence group of the moduli space of stable bundles of coprime rank …
Autoequivalences of Derived Categories of Moduli Spaces of Vector Bundles
Haotian Zuo
Let \(C\) be a smooth projective curve over an algebraically closed field of characteristic zero. For the moduli space \(N(r,L)\) of stable vector bundles on \(C\) of rank \(r\) wi…
Normal surface singularities of small degrees
Stephen S. -T. Yau, Hao Zuo, Huaiqing Zuo
The notion of the Yau sequence was introduced by Tomaru, as an attempt to extend Yau's elliptic sequence for (weakly) elliptic singularities to normal surface singularities of high…