On the stabilization height of fiber surfaces in S³

Baader, Sebastian; Misev, Filip (2018). On the stabilization height of fiber surfaces in S³. Journal of knot theory and its ramifications, 27(03), p. 1840001. World Scientific 10.1142/S0218216518400011

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The stabilisation height of a fibre surface in the 3-sphere is the minimal number of Hopf plumbing operations needed to attain a stable fibre surface from the initial surface. We show that families of fibre surfaces related by iterated Stallings twists have unbounded stabilisation height.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Baader, Sebastian and Misev, Filip

Subjects:

500 Science > 510 Mathematics

ISSN:

0218-2165

Publisher:

World Scientific

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

10 May 2019 14:15

Last Modified:

24 Oct 2019 06:16

Publisher DOI:

10.1142/S0218216518400011

ArXiv ID:

1607.00857v1

BORIS DOI:

10.7892/boris.125471

URI:

https://boris.unibe.ch/id/eprint/125471

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