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The Birman exact sequence for 3--manifolds (2017)
Journal Article
Banks, J. (2017). The Birman exact sequence for 3--manifolds. Bulletin of the London Mathematical Society, 49(4), 604-629. doi:10.1112/blms.12051

We study the Birman exact sequence for compact 3–manifolds, obtaining a complete picture of the relationship between the mapping class group of the manifold and the mapping class group of the submanifold obtained by deleting an interior point. This c... Read More about The Birman exact sequence for 3--manifolds.

Monodromy action on unknotting tunnels in fiber surfaces (2016)
Journal Article
Banks, J., & Rathbun, M. (2016). Monodromy action on unknotting tunnels in fiber surfaces. Canadian journal of mathematics = Journal canadien de mathématiques, 68(6), 1201-1226 . https://doi.org/10.4153/CJM-2016-002-1

The second author showed that a tunnel of tunnel number one, fibered link in S³ can be isotoped to lie as a properly embedded arc in the fiber surface of the link. In this paper, we observe that this is true for fibered links in any 3-manifold, we an... Read More about Monodromy action on unknotting tunnels in fiber surfaces.


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