A new pair of non-cobordant surface-links which the Orr invariant, the Cochran sequence, the Sato-Levine invariant, and the alinking number cannot find

Eiji Ogasa

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arXiv · 1605.06874

A new pair of non-cobordant surface-links which the Orr invariant, the Cochran sequence, the Sato-Levine invariant, and the alinking number cannot find

Eiji Ogasa

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Abstract

We submit a new way to detect pairs of non-cobordant surface-links. We find a new example of a pair of non-cobordant surface-links with the following properties: Orr invariant, Cochran sequence, Sato-Levine invariant, the alinking number and one of Stallings's theorems cannot distinguish them. However our new way can distinguish them.

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Eiji Ogasa. 2016-05-23. A new pair of non-cobordant surface-links which the Orr invariant, the Cochran sequence, the Sato-Levine invariant, and the alinking number cannot find. https://arxiv.org/abs/1605.06874

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