Danceability of Twisted Virtual Knots

Year: 2025 Authors: Sol Addison; Nancy Scherich; Lila Snodgrass

Core claim

Twisted virtual knot diagrams admit danceability definitions that incorporate twist bars and facing rules, opening new knot invariants and rule variations.

Topics

knot danceability, twisted virtual knots, non-orientable surfaces, knot invariants

Domains

knot theory, virtual knot theory, topology, surface classification, choreography, performance notation, visual diagramming

Methods

diagrammatic definitions, crossing restriction rules, invariant construction, example-based analysis

Media

knot diagrams, twist bars, cross-cap surfaces, figure-based illustrations

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.