In [Kho00], Khovanov introduced an elaboration of the Jones polynomial, now generally called Khovanov homology. The Khovanov homology of a link L takes the form of a bigraded abelian group Kh~(i,j)(L), the homology of a bigraded chain complex which we denote KC~(i,j) (L). Khovanov homology relates to the Jones polynomial by taking the graded Euler characteristic: χ(Kh~(i,j) (L)) = ∑_(i,j)(?1)~iq~j rank Kh~(i,j)(L) = (q + q~(?1))V (L).
展开▼
