On the fibration of augmented link complements

Darlan Girão

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arXiv · 1109.3084

On the fibration of augmented link complements

Darlan Girão

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Abstract

We study the fibration of augmented link complements. Given the diagram of an augmented link we associate a spanning surface and a graph. We then show that this surface is a fiber for the link complement if and only if the associated graph is a tree. We further show that fibration is preserved under Dehn filling on certain components of these links. This last result is then used to prove that within a very large class of links, called locally alternating augmented links, every link is fibered.

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Darlan Girão. 2013-01-19. On the fibration of augmented link complements. https://arxiv.org/abs/1109.3084

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