中科院数学与系统科学研究院

数学研究所

拓扑研讨班

报告人：章博宇  (美国IAS)

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

时  间：2020.01.07（星期二）, 16:00-17:00

地  点：晨兴中心410室

摘  要：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.