The enumeration of doubly symmetric diagrams for strongly positive amphicheiral knots

Christoph Lamm

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arXiv · 2410.06601

The enumeration of doubly symmetric diagrams for strongly positive amphicheiral knots

Christoph Lamm

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Abstract

This is the second part of the article on doubly symmetric diagrams and strongly positive amphicheiral knots. We develop an enumeration strategy for prime knots given by doubly symmetric diagrams and determine all cases up to 18 crossings in the doubly symmetric diagram. A digression covers the origin of Gauss words for long curves and explains how Gauss marked non-realizable words.

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Christoph Lamm. 2024-10-09. The enumeration of doubly symmetric diagrams for strongly positive amphicheiral knots. https://arxiv.org/abs/2410.06601

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