On universal parity on free two-dimensional knots
Igor Nikonov
TL;DR
This paper proves that the Gaussian parity is a universal invariant for free two-dimensional knots, establishing its fundamental role in their classification.
Contribution
It introduces and proves the universality of Gaussian parity as an invariant for free two-dimensional knots, a novel result in knot theory.
Findings
Gaussian parity is universal for free 2D knots
Provides a new invariant for classifying free 2D knots
Advances understanding of knot invariants in higher dimensions
Abstract
We prove that the Gaussian parity on free two-dimensional knots is universal.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric and Algebraic Topology · Theoretical and Computational Physics