2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.GT2003★ 2 cited
The next simplest hyperbolic knots
Abhijit Champanerkar, Ilya Kofman, Eric Patterson
We complete the project begun by Callahan, Dean and Weeks to identify all knots whose complements are in the SnapPea census of hyperbolic manifolds with seven or fewer tetrahedra.…
math.GT2000
Vassiliev invariants and the cubical knot complex
Ilya Kofman, Xiao-Song Lin
We construct a cubical CW-complex CK(M^3) whose rational cohomology algebra contains Vassiliev invariants of knots in the 3-manifold M^3. We construct \bar{CK}(R^3) by attaching ce…
math.GT2000
Approximating Jones coefficients and other link invariants by Vassiliev invariants
Ilya Kofman, Yongwu Rong
We find approximations by Vassiliev invariants for the coefficients of the Jones polynomial and all specializations of the HOMFLY and Kauffman polynomials. Consequently, we obtain…