A note on stabilization heights of fiber surfaces and the Hopf invariants
Keiji Tagami
TL;DR
This paper investigates the Hopf invariant and provides an alternative proof that stabilization heights of fiber surfaces are unbounded, building on prior work by Baader and Misev.
Contribution
It offers a new proof for the unboundedness of stabilization heights of fiber surfaces using Hopf invariants, enhancing understanding of fiber surface properties.
Findings
Stabilization heights of fiber surfaces are unbounded.
An alternative proof for unboundedness using Hopf invariants.
Clarifies the role of Hopf invariants in fiber surface stabilization.
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Advanced Differential Equations and Dynamical Systems