Band surgeries and crossing changes between fibered links

Dorothy Buck; Kai Ishihara; Matt Rathbun; Koya Shimokawa

doi:10.1112/jlms/jdw049

Band surgeries and crossing changes between fibered links

Dorothy Buck, Kai Ishihara, Matt Rathbun, Koya Shimokawa

Research output: Contribution to journal › Article › peer-review

8 Citations (SciVal)

Abstract

We characterize cutting arcs on fiber surfaces that produce new fiber surfaces, and the changes in monodromy resulting from such cuts. As a corollary, we characterize band surgeries between fibered links and introduce an operation called generalized Hopf banding. We further characterize generalized crossing changes between fibered links, and the resulting changes in monodromy.

Original language	English
Pages (from-to)	557-582
Number of pages	26
Journal	Journal of the London Mathematical Society
Volume	94
Issue number	2
Early online date	17 Aug 2016
DOIs	https://doi.org/10.1112/jlms/jdw049
Publication status	Published - 1 Oct 2016

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title = "Band surgeries and crossing changes between fibered links",

abstract = "We characterize cutting arcs on fiber surfaces that produce new fiber surfaces, and the changes in monodromy resulting from such cuts. As a corollary, we characterize band surgeries between fibered links and introduce an operation called generalized Hopf banding. We further characterize generalized crossing changes between fibered links, and the resulting changes in monodromy.",

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AU - Ishihara, Kai

AU - Rathbun, Matt

AU - Shimokawa, Koya

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N2 - We characterize cutting arcs on fiber surfaces that produce new fiber surfaces, and the changes in monodromy resulting from such cuts. As a corollary, we characterize band surgeries between fibered links and introduce an operation called generalized Hopf banding. We further characterize generalized crossing changes between fibered links, and the resulting changes in monodromy.

AB - We characterize cutting arcs on fiber surfaces that produce new fiber surfaces, and the changes in monodromy resulting from such cuts. As a corollary, we characterize band surgeries between fibered links and introduce an operation called generalized Hopf banding. We further characterize generalized crossing changes between fibered links, and the resulting changes in monodromy.

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U2 - 10.1112/jlms/jdw049

DO - 10.1112/jlms/jdw049

M3 - Article

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JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

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Band surgeries and crossing changes between fibered links

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