Knotted surfaces, Homological Norm and Extendable Subgroup

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.

9 pages, 1 figure

References in corpus (2)

• On diffeomorphisms over surfaces trivially embedded in the 4-sphere
• Extending periodic maps on surfaces over the 4-sphere