Equivalence of flat-virtual diagrams
D. A. Popova
TL;DR
This paper investigates the equivalence and invariants of flat-virtual diagrams derived from links in thickened surfaces, aiming to enhance the understanding and classification of such links.
Contribution
It introduces new methods for analyzing flat-virtual diagrams obtained from links in thickened surfaces, focusing on their equivalence and invariants.
Findings
Established criteria for equivalence of flat-virtual diagrams.
Developed invariants for classifying flat-virtual links.
Connected invariants of flat-virtual links to those of links in thickened surfaces.
Abstract
Maps from links in thickened surfaces to flat-virtual links help to construct invariants of links using invariants of flat-virtual links. This work is dedicated to investigation of equivalence and invariants of flat-virtual diagrams obtained as images of maps from links in thickened surfaces.
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Taxonomy
TopicsData Visualization and Analytics · Graph Theory and Algorithms · Computational Geometry and Mesh Generation