Diassociative Algebras and Milnor’s Invariants for Tangles

被引：0
|
作者：
Olga Kravchenko
Michael Polyak
机构：
[1] Université de Lyon,Department of Mathematics
[2] Université Lyon 1,undefined
[3] ICJ,undefined
[4] UMR 5208 CNRS,undefined
[5] Technion,undefined
来源：
Letters in Mathematical Physics | 2011年 / 95卷
关键词：
57M25; 57M27; 18D50; 16S37; tangles; -invariants; planar trees; dialgebras; operads;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We extend Milnor’s μ-invariants of link homotopy to ordered (classical or virtual) tangles. Simple combinatorial formulas for μ-invariants are given in terms of counting trees in Gauss diagrams. Invariance under Reidemeister moves corresponds to axioms of Loday’s diassociative algebra. The relation of tangles to diassociative algebras is formulated in terms of a morphism of corresponding operads.
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页码：297 / 316
页数：19
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