Arnold-type invariants of curves on surfaces

被引：3

作者：

Tchernov, V ^{[1
]}

机构：

[1] Inst Matemat, S-75106 Uppsala, Sweden

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1999年 / 8卷 / 01期

关键词：

immersion; curve; finite order invariant;

D O I：

10.1142/S0218216599000079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently V. Arnold introduced Strangeness and J+/- invariants of generic immersions of an oriented circle to R-2. Here these invariants are generalized to the case of generic immersions of an oriented circle to an arbitrary surface F. We explicitly describe all the invariants satisfying axioms, which naturally generalize the axioms used by V. Arnold.

引用

页码：71 / 97

页数：27