Department of Mathematics

Geometry and Topology

  •  Boyu Zhang, Princeton University
  •  Classification of links with Khovanov homology of minimal rank
  •  10/31/2019
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall

In this talk, I will present a classification of links whose Khovanov homology has minimal rank, which answers a question asked by Batson and Seed. The proof is based on an excision formula for singular instanton Floer homology that allows the excision surface to intersect the singularity. We will use the excision theorem to define an instanton Floer homology for tangles on sutured manifolds, and show that its gradings detect the generalized Thurston norm for punctured surfaces. This is joint work with Yi Xie.



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