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SUMMARY:Boyu Zhang (Princeton)
DTSTART:20201023T220000Z
DTEND:20201023T230000Z
DTSTAMP:20260423T021305Z
UID:caltechGT/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/caltechGT/4/
 ">Several detection results of Khovanov homology on links</a>\nby Boyu Zha
 ng (Princeton) as part of Caltech geometry/topology seminar\n\n\nAbstract\
 nThe Khovanov homology is a combinatorially defined invariant for knots an
 d links. I will present several new detection results of Khovanov homology
  on links. In particular\, we show that if L is an n-component link with K
 hovanov homology of rank 2^n\, then it is given by the connected sums and 
 disjoint unions of unknots and Hopf links. This result gives a positive an
 swer to a question asked by Batson-Seed\, and it generalizes the unlink de
 tection theorem by Hedden-Ni and Batson-Seed. The proof relies on a new ex
 cision formula for the singular instanton Floer homology. This is joint wo
 rk with Yi Xie.\n
LOCATION:https://researchseminars.org/talk/caltechGT/4/
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