Linearized chord diagrams and an upper bound for Vassiliev invariants

被引：11

作者：

Bollobás, B ^{[1
]}

Riordan, O

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

[2] Univ Cambridge Trinity Coll, Cambridge CB2 1TQ, England

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2000年 / 9卷 / 07期

关键词：

D O I：

10.1142/S0218216500000475

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

Recently, Stoimenow [J. Knot Th. Ram. 7 (1998), 93-114] gave an upper bound on the dimension d(n) 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 d(n).

引用

页码：847 / 853

页数：7