Order one invariants of spherical curves
Tahl Nowik
TL;DR
This paper provides a comprehensive classification of all first-order invariants for spherical curves, including specific subtypes and universal relations, advancing the understanding of their mathematical structure.
Contribution
It offers a complete description of order 1 invariants of spherical curves and identifies key subspaces and universal equalities.
Findings
Complete characterization of order 1 invariants.
Identification of J-invariants and S-invariants subspaces.
Presentation of universal equalities for spherical curves.
Abstract
We give a complete description of all order 1 invariants of spherical curves. We also identify the subspaces of all J-invariants and S-invariants, and present two equalities satisfied by any spherical curve.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Analytic and geometric function theory · Holomorphic and Operator Theory