Tuesday, September 8, 2020
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3:00pm to 4:00pm
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Math Seminar Series
(Conferences / Seminars / Lectures)
Geometry and Topology
Yi Ni from Caltech, will be speaking on the topic of Thurston norm minimizing Seifert surfaces.
Place: Online (virtual meeting)
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. more information...
Location: |
Go to Seminars Page for Zoom link and password [map] |
Price: |
free |
Sponsor: |
Department of Mathematics |
Contact: |
Department of Mathematics
(517) 353-0844 |
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