中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

综合报告会

Speaker: Prof.Yi Ni (Caltech)

Inviter: 数学所

Language: English

Title: Generation of 3-manifolds through surgery triads

Time&Venue: 2025.6.25（星期三）14:30-15:30 & 南楼N818

Abstract: Surgery triads is an important concept in various versions of Floer homology theories of 3-manifolds. If three 3-manifolds form a surgery triad, then the Floer homology of these three manifolds are usually related by an exact triangle. A strategy of proving certain isomorphism theorems for Floer homology is to use exact triangles and naturality. In order to apply this strategy, we often need finite generation results for a class of 3-manifolds through surgery triads. For example, a folklore theorem asserts that all closed oriented connected 3-manifolds are generated by the 3-sphere through surgery triads.In this talk, we will review the above strategy and discuss the proof of the above folklore theorem and its generalization to a class of sutured manifolds.