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arXiv · 2511.03648

Knotted surfaces, Homological Norm and Extendable Subgroup

Qiling Liu
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Abstract

We prove that for arbitrary g, there is a surface K of genus g embedded in S4, which has finitely many extendable self-homeomorphisms' action on H1(K,Z), by defining a norm on H1(K,Z) and proving its additivity.

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Qiling Liu. 2025-11-05. Knotted surfaces, Homological Norm and Extendable Subgroup. https://doi.org/10.1016/j.topol.2025.109644

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