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Home >> Seminar

Thurston norm minimizing Seifert surfaces

Yi Ni Professor(Caltech)
Saturday, June 20th, 2020, 10:00 AM  ZOOM房间号:274 175 4144

直播渠道:ZOOM房间号:274 175 4144 密码:930643


报告时间:2020年6月20日 10:00-11:00

报告人简介:Yi Ni, Professor in Caltech, NSF Career Award; Alfred P. Sloan Research Fellowship; Clay Liftoff Fellowship, Clay Mathematics Institute.

报告内容简介:Let K be a null-homologous knot in a closed 3-manifold Y, and F be a Seifert surface. One can cap off the boundary of F with a disk in the zero surgery on K to get a closed surface F_0. If we know that F is Thurston norm minimizing, we can ask whether F_0 is also Thurston norm minimizing. A classical theorem of Gabai says that the answer is Yes when Y is the 3-sphere. Gabai's theorem can be generalized to many other 3-manifolds using Heegaard Floer homology. In this talk, we will discuss a sufficient condition for F_0 to be Thurston norm minimizing which relates this property to the 4-genus of the knot.
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