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arXiv 1409.5873math.GT
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接头的特征

The signature of a splice

Alex Degtyarev, Vincent Florens, Ana G. Lecuona

摘要:

我们研究了有色链接[Flo05,CF08]在拼接操作下的签名行为。我们的建设扩大到有色链接在积分同调领域,并表明,签名几乎是添加剂,与独立的链接的校正项。我们解释这个修正项作为一个广义的霍普夫链的签名,并给出一个简单的闭公式来计算它。

英文摘要:

We study the behavior of the signature of colored links [Flo05, CF08] under the splice operation. We extend the construction to colored links in integral homology spheres and show that the signature is almost additive, with a correction term independent of the links. We interpret this correction term as the signature of a generalized Hopf link and give a simple closed formula to compute it.

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