Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2021; 58(5): 1097-1107

Online first article July 27, 2021      Printed September 30, 2021

https://doi.org/10.4134/BKMS.b200454

Copyright © The Korean Mathematical Society.

A note on stabilization heights of fiber surfaces and the Hopf invariants

Keiji Tagami

National Fisheries University

Abstract

In this paper, we focus on the Hopf invariant and give an alternative proof for the unboundedness of stabilization heights of fiber surfaces, which was firstly proved by Baader and Misev.

Keywords: Fibered knot, stabilization height, Hopf invariant, plane field

MSC numbers: 57K10, 57K33

Supported by: The author was supported by JSPS KAKENHI Grant numbers JP16H07230 and JP18K13416.

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