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On the Combinatorial Structure of Primitive Vassiliev Invariants, II

✍ Scribed by Oliver T Dasbach

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 378 KB
Volume: 81
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1997.2821

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✦ Synopsis

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 c 2, u of B generated by all connected diagrams with 4+2u vertices, including u univalent ones, has dimension dim B c 2, u =w(u 2 +12u)Â48x+1 for u even. B c 2, u is trivial for u odd.

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