学术空间

【数学与应用数学系系列讲座第13场】

报告题目: The amalgamation of high distance Heegaard splittings along tori


报告人:李阳 副教授 4556银河国际在线


报告时间:618号下午1600-1640


报告地点:腾讯会议  ID358 7897 9396    


报告人简介:李阳,4556银河国际在线副教授,2006年博士毕业于哈尔滨工业大学。研究领域为低维拓扑,主持完成国家自然科学基金青年项目1项和北京市教委科研计划面上项目1项,发表学术论文若干篇。



报告摘要:


In this talk we will introduce some known results on the amalgamation of Heegaard

splittings in two 3-manifolds and then discuss the change law of the Heegaard genera of the amalgamation of multiple factor manifolds with high Heegaard distance. We show that the Heegaard genus of the amalgamated 3-manifold is determined by the Heegaard genera of the submanifolds and the genus of the amalgamating surface if each submaniflods admits a Heegaard splitting with sufficiently high distance.


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