Seifert Surfaces with Minimal Genus

Year: 2013 Authors: Mereke van Garderen; Jarke J. van Wijk

Core claim

By extending classic braids with longer crossings and applying search moves, the authors can produce Seifert surfaces whose genus matches the knot’s minimal genus in most tested cases.

Topics

knot visualization, minimal genus, braid manipulation, algorithmic search

Domains

knot theory, topology, braid groups, scientific visualization, mathematical sculpture, generative imagery

Methods

braid extensions, graph search algorithm, move enumeration, symmetry scanning

Media

braid diagrams, Seifert surfaces, 3D sculptures, visualization software

Source status

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