On the Combinatorial Structure of Primitive Vassiliev Invariants, II
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 Bc2,uof B generated by all connected diagrams with 4+2uvertices, including u univalent ones, has dimension dimBc2,u=⌊(u2+12u)/48⌋+1 for u even. Bc2,uis trivial foruodd. © 1998 Academic Press.
Publication Source (Journal or Book title)
Journal of Combinatorial Theory. Series A
Dasbach, O. (1998). On the Combinatorial Structure of Primitive Vassiliev Invariants, II. Journal of Combinatorial Theory. Series A, 81 (2), 127-139. https://doi.org/10.1006/jcta.1997.2821