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A Sufficient and Necessary Condition for a Surface Sum of Two Handlebodies to be a Handlebody
发布时间:2020-06-27浏览次数:

题目:A Sufficient and Necessary Condition for a Surface Sum of Two Handlebodies to be a Handlebody

报告人:雷逢春 教授(大连理工大学)

地点:腾讯会议室(详见网页)

时间:2020年6月27日 15:00-16:00

地点:https://meeting.tencent.com/s/yRE0wdWtflX4

会议 ID:959 424 701

摘要:Let $M_1$ and $M_2$ be two compact connected orientable 3-manifolds, $F_i/subset /partial M_i$ a compact connected surface, $i=1,2$, and $h:F_1/rightarrow F_2$ a homeomorphism. We call the 3-manifold $M=M_1/cup_h M_2$, obtained by gluing $M_1$ and $M_2$ together via $h$, a {/em surface sum} of $M_1$ and $M_2$. In the talk, I will introduce a recent result which gives out a sufficient and necessary condition for a surface sum of two handlebodies to be a handlebody. This is a joint work with He Liu, Fengling Li and Andrei Vesnin.

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