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SUMMARY:Khovanov homology and knot Floer homology for pointed links - Adam
  Levine (Princeton University)
DTSTART:20170609T123000Z
DTEND:20170609T133000Z
UID:TALK73017@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:There are spectral sequences relating reduced Khovanov homolog
 y to a variety of other homological link invariants\, including the Heegaa
 rd Floer homology of the branched double cover and instanton knot homology
 . However\, there is no known relationship between Khovanov homology and k
 not Floer homology\, despite considerable computational evidence and numer
 ous formal similarities. I will describe ongoing efforts to find a spectra
 l sequence relating these two invariants. Specifically\, we construct a va
 riant of Khovanov homology for links with one or more basepoints on each c
 omponent\, which more closely parallels the behavior of knot Floer homolog
 y and which conjecturally fits into a spectral sequence as required. This 
 is joint work with John Baldwin and Sucharit Sarkar.<br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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