Monodromy action on unknotting tunnels in fiber surfaces

Jessica E. Banks; Matt Rathbun

doi:10.4153/cjm-2016-002-1

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arXiv · 1312.6902

Monodromy action on unknotting tunnels in fiber surfaces

Jessica E. Banks·Matt Rathbun

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Abstract

In "Tunnel one, fibered links", the second author showed that the tunnel of a tunnel number one, fibered link can be isotoped to lie as a properly embedded arc in the fiber surface of the link. In this paper, we analyze how the arc behaves under the monodromy action, and show that the tunnel arc is nearly clean, with the possible exception of twisting around the boundary of the fiber.

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BibTeX RIS

Jessica E. Banks, Matt Rathbun. 2013-12-25. Monodromy action on unknotting tunnels in fiber surfaces. https://doi.org/10.4153/cjm-2016-002-1

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