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Symplectic Dynamics/Geometry Seminar

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

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.

Featuring

Boyu Zhang

Speaker Affiliation

Princeton University

Affiliation

Mathematics

Event Series

Date & Time
February 24, 2020 | 3:304:30pm

Location

Simonyi Hall 101

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