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Geometry, Symmetry and Physics Seminar

Building a second grading on symplectic Khovanov homology

Zhechi Cheng, Columbia University

Location:  Serin E372
Date & time: Thursday, 21 November 2019 at 11:00AM - 12:00PM

                                                                                

Symplectic Khovanov homology was defined to be a singly graded link             

invariant that is conjecturally isomorphic to Khovanov homology after           

collapsing two gradings by Seidel and Smith. Over characteristic 0              

fields, the conjecture was proved by Abouzaid and Smith. In this talk,          

I will construct a well-defined second grading on symplectic Khovanov           

homology, following Abouzaid-Smith’s idea of the weight grading. I              

will also show that the second grading recovers the Jones grading               

through the isomorphism to Khovanov homology over any characteristic 0          

field.