On the combinatorial structure of primitive Vassiliev invariants, II

摘要

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 B-2,u(c), of B generated by all connected diagrams with 4 + 2u vertices, including u univalent ones, has dimension dim B-2,u(c) = (u(2) + 12u)/48 + 1 for u even. B-2,u(c) is trivial for u odd. (C) 1998 Academic Press. [References: 6]