Osaka Journal of Mathematics

Hopf bands in arborescent Hopf plumbings

Filip Misev

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Abstract

For a positive Hopf plumbed arborescent Seifert surface $S$, we study the set of Hopf bands $H\subset S$, up to homology and up to the action of the monodromy. The classification of Seifert surfaces for which this set is finite is closely related to the classification of finite Coxeter groups.

Article information

Source
Osaka J. Math., Volume 56, Number 2 (2019), 375-389.

Dates
First available in Project Euclid: 3 April 2019

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1554278429

Mathematical Reviews number (MathSciNet)
MR3934980

Subjects
Primary: 57M27: Invariants of knots and 3-manifolds

Citation

Misev, Filip. Hopf bands in arborescent Hopf plumbings. Osaka J. Math. 56 (2019), no. 2, 375--389. https://projecteuclid.org/euclid.ojm/1554278429


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