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arXiv · 1506.01489

No surface-knot of genus one has triple point number two

A. Al Kharusi·T. Yashiro
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Abstract

It is known that there is no 2-knot with triple point number two. The present work shows that there is no surface-knot of genus one with triple point number two. In order to prove the result, we use Roseman moves and the algebraic intersection number of simple closed curves in the double decker set.

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A. Al Kharusi, T. Yashiro. 2015-06-04. No surface-knot of genus one has triple point number two. https://arxiv.org/abs/1506.01489

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