The dimension of a graded commutative algebra and asymptotics of Vassiliev invariants
نویسنده
چکیده
We discuss the relation between the dimension of a CGA and its primitive part and apply it to deduce a lower bound for the number of all Vassiliev invariants.
منابع مشابه
Vassiliev invariants and the cubical knot complex Ilya Kofman
We construct a cubical CW-complex CK(M3) whose rational cohomology algebra contains Vassiliev invariants of knots in the 3-manifold M3. We construct CK(R3) by attaching cells to CK(R3) for every degenerate 1-singular and 2-singular knot, and we show that π1(CK(R 3)) = 1 and π2(CK(R 3)) = Z. We give conditions for Vassiliev invariants to be nontrivial in cohomology. In particular, for R3 we show...
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