Linearized chord diagrams and an upper bound for Vassiliev invariants
Abstract
Recently, Stoimenow [J. Knot Th. Ram. 7 (1998), 93-114] gave an upper bound on the dimension dn of the space of order n Vassiliev knot invariants, by considering chord diagrams of a certain type. We present a simpler argument which gives a better bound on the number of these chord diagrams, and hence on dn.
Publication Title
Journal of Knot Theory and its Ramifications
Recommended Citation
Bollobás, B., & Riordan, O. (2000). Linearized chord diagrams and an upper bound for Vassiliev invariants. Journal of Knot Theory and its Ramifications, 9 (7), 847-853. https://doi.org/10.1142/S0218216500000475
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