|Coordinates:||JH Michell Theatre in the Richard Berry Building|
|Speaker:||Yi Ni (Caltech)|
|Title:||Khovanov module and the detection of unlinks|
(Joint work with Matt Hedden.)
I will talk about the unknot/unlink recognition problem for knot homologies. A recent deep result on this topic is due to Kronheimer and Mrowka, who proved that Khovanov homology detects the unknot in S3. Based on their theorem and Ozsvath-Szabo's spectral sequence, we will show that Khovanov homology with an extra module structure detects unlinks.
|Slides:||Ni_Hyamfest.pdf (872 KB)|