On the Combinatorial Structure of 
Primitive Vassiliev Invariants II

Journal Comb. Theory, Ser. A, Vol. 81, No. 2, 1998, pp. 127-139

Oliver T. Dasbach

Abstract:

By the theory of Vassiliev invariants the knowledge of a certain algebra B, defined as generated
by graphs, is essentially as good as the knowledge of the space of Vassiliev invariants.
We will prove that the subspace B2,u of B generated by all connected diagrams
with (4+2 u) vertices, including u univalent ones, has dimension
dim B2,u= [(u2+12 u)/48 ] +1
for u even. B2,u is trivial for u odd.

 

Keywords:

Vassiliev invariants, Invariants of finite type
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