Coordinates: JH Michell Theatre in the Richard Berry Building
Speaker: Yi Ni (Caltech)
Title: Khovanov module and the detection of unlinks
Abstract: (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)