Enumeration of chord diagrams and an upper bound for Vassiliev invariants

被引：46

作者：

Stoimenow, A ^{[1
]}

机构：

[1] Humboldt Univ, Dept Math, D-1086 Berlin, Germany

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1998年 / 7卷 / 01期

关键词：

D O I：

10.1142/S0218216598000073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We treat an enumeration problem of chord diagrams, which is shown to yield an upper bound for the dimension of the space of Vassiliev invariants for knots. We give an asymptotical estimate for this bound. As an aside, we present a trivial proof for the bound D!.

引用

页码：93 / 114

页数：22

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