Region crossing change on nonorientable surfaces
Zhiyun Cheng, Jingze Song
TL;DR
This paper classifies link diagrams on nonorientable surfaces based on their behavior under region crossing changes, advancing understanding of knot theory in nonorientable contexts.
Contribution
It provides a comprehensive classification of link diagrams on nonorientable surfaces considering region crossing changes, a novel approach in this area.
Findings
Classification of link diagrams on nonorientable surfaces
Region crossing change equivalence classes identified
Framework for analyzing knots on nonorientable surfaces
Abstract
In this paper, we give a classification of link diagrams on nonorientable surfaces up to region crossing changes.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals