中科院数学与系统科学研究院
数学研究所
学术报告
拓扑研讨班
报告人：陈冠亨（深圳大学高等研究院）
题 目：On aspherical symplectic fillings of the prequantization bundles
时 间：2024.07.03（星期三）11:10-12:10
地 点：数学院南楼N602
摘 要：A prequantization bundle is a negative circle bundle over a symplectic manifold, equipped with a contact form induced by an S1-invariant connection. In this talk, I will present a result concerning the diffeomorphism types of the symplectic fillings of a prequantization bundle over a surface, under certain topological and symplectic assumptions. Furthermore, I will discuss an extension of the result to higher dimensions. Under the similar assumptions, the result states that the homology of an aspherical filling is isomorphic to the homology of the disk bundle.
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