Construction of stable bundles on some Calabi-Yau 3-fold via variation of polarizations -- Wei-Ping Li

The aim is to extend the techniques of construction of stable bundles on surfaces to higher dimensional varieties. The moduli space of stable bundles vary when the polarization of stability varies. Under some conditions on Chern classes, this method can give us the whole moduli space. The Calabi-Yau 3-fold is a hyperplane section of $P^1\times P^3$ or a double cover of $P^1\times P^2$. We construct the full moduli space of stable rank-two vector bundles over the CY 3-fold. This is the joint work with Qin.