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发布时间:2022-09-28文章来源:华南理工大学数学学院浏览次数:294

报告题目:Classifying the expanding attractors on the figure-eight knot exterior and the non-transitive Anosov flows on the Franks-Williams manifold

 人:余斌 教授(同济大学

报告时间:20221011日(星期二)上午9:30-11:00         

报告地点:zoom 98951767939,密码:GTG

 人:杜晓明副教授

 

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数学学院

2022928

 

报告摘要:The figure-eight knot exterior N supports a natural DA (derived from Anosov) expanding attractor, with which Franks-Williams constructed the first example of non-transitive Anosov flow. This flow lies in a 3-manifold M which is the double of N. We call M the Franks-Williams manifold. We prove that, up to orbit-equivalence, this DA expanding attractor is the unique expanding attractor supported by N. We also show that, up to orbit-equivalence, the non-transitive Anosov flow constructed by Franks and Williams is the unique non-transitive Anosov flow supported by M. This is a joint work with Yang Jiagang.