Symplectic Geometry Seminar, 2007-2008
Monday,
January 14
,
4:00pm-5:00pm,
room 383N
Speaker:
Nadya Shirokova
Title:
The categorification of Birman-Lin theorem
Abstract:
The theorem of Birman and Lin says that (after the substitution of variables) the
nth coeffitient of the series decomposition of the Jones polynomial is invariant of finite
type n. We construct the sequence of derived subcategories of the category of Khovanov
complexes, a filtration, s.t. restricted to the nth term of the filtration, the Khovanov
local system is of finite type n.