A classification of links of the flat plumbing basket numbers 4 or less
Dongseok Kim
TL;DR
This paper classifies all links with flat plumbing basket numbers of 4 or less using a specialized surface presentation, advancing understanding of link geometry.
Contribution
It provides a complete classification theorem for links with flat plumbing basket numbers up to 4, a novel comprehensive result in link theory.
Findings
Complete classification of links with flat plumbing basket number ≤ 4
Introduction of a special presentation method for these surfaces
Enhanced understanding of link complements in geometric topology
Abstract
Flat plumbing basket surfaces of links were introduced to study the geometry of the complement of the links. In present article, we study links of the flat plumbing basket numbers or less using a special presentation of the flat plumbing basket surfaces. We find a complete classification theorem of links of the flat plumbing basket numbers 4 or less.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Mathematics and Applications · Geometric and Algebraic Topology