拓扑研讨班：Symplectic fillings of lens spaces and Seifert fibered spaces

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：李友林 教授（上海交通大学）   

题  目：Symplectic fillings of lens spaces and Seifert fibered spaces   

时  间：2022.12.14（周三）14:30-15:30

地  点： 腾讯会议：306-836-756

摘  要：In this talk, we apply Menke's JSJ decomposition for symplectic fillings to several families of contact 3-manifolds. Among other results, we complete the classification up to orientation-preserving diffeomorphism of strong symplectic fillings of lens spaces. For large families of contact structures on Seifert fibered spaces over S^2, we reduce the problem of classifying exact symplectic fillings to the same problem for universally tight or canonical contact structures. We show that exact symplectic fillings of contact manifolds obtained by surgery on certain Legendrian negative cables are the result of attaching a symplectic 2-handle to an exact symplectic filling of a lens space. This is joint work with Austin Christian.