SGGTC this Friday: Boyu Zhang

[Oleg Lazarev]

Dear all, 

This Friday Boyu Zhang from Princeton University will give a talk at 10:30 am in Math 520.  We will meet at 11:35 in the lobby and go out for lunch.  

Best, 

Oleg

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Boyu Zhang: Classification of n-component links with Khovanov homology of rank 2^n

Abstract: Suppose L is a link with n components and the rank of Kh(L;Z/2) is 2^n, we show that L can be obtained by disjoint unions and connected sums of Hopf links and unknots. This result gives a positive answer to a question asked by Batson-Seed, and generalizes the unlink detection theorem of Khovanov homology by Hedden-Ni and Batson-Seed. The proof relies on a new excision formula for the singular instanton Floer homology introduced by Kronheimer and Mrowka. This is joint work with Yi Xie.