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Band surgeries and crossing changes between fibered links

Publication ,  Journal Article
Buck, D; Ishihara, K; Rathbun, M; Shimokawa, K
Published in: Journal of the London Mathematical Society
October 1, 2016

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.

Duke Scholars

Published In

Journal of the London Mathematical Society

DOI

EISSN

1469-7750

ISSN

0024-6107

Publication Date

October 1, 2016

Volume

94

Issue

2

Start / End Page

557 / 582

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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MLA
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Buck, D., Ishihara, K., Rathbun, M., & Shimokawa, K. (2016). Band surgeries and crossing changes between fibered links. Journal of the London Mathematical Society, 94(2), 557–582. https://doi.org/10.1112/jlms/jdw049
Buck, D., K. Ishihara, M. Rathbun, and K. Shimokawa. “Band surgeries and crossing changes between fibered links.” Journal of the London Mathematical Society 94, no. 2 (October 1, 2016): 557–82. https://doi.org/10.1112/jlms/jdw049.
Buck D, Ishihara K, Rathbun M, Shimokawa K. Band surgeries and crossing changes between fibered links. Journal of the London Mathematical Society. 2016 Oct 1;94(2):557–82.
Buck, D., et al. “Band surgeries and crossing changes between fibered links.” Journal of the London Mathematical Society, vol. 94, no. 2, Oct. 2016, pp. 557–82. Scopus, doi:10.1112/jlms/jdw049.
Buck D, Ishihara K, Rathbun M, Shimokawa K. Band surgeries and crossing changes between fibered links. Journal of the London Mathematical Society. 2016 Oct 1;94(2):557–582.
Journal cover image

Published In

Journal of the London Mathematical Society

DOI

EISSN

1469-7750

ISSN

0024-6107

Publication Date

October 1, 2016

Volume

94

Issue

2

Start / End Page

557 / 582

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics