Moduli of Legendrian Curves
Antonio Araujo, Orlando Neto
TL;DR
This paper constructs the generic component of the moduli space for Legendrian curve germs with a specific topological type, providing a detailed understanding of their classification.
Contribution
It introduces a method to describe the moduli space of Legendrian curves with a given topological type, focusing on the case where the plane projection is equivalent to y^n = x^m.
Findings
Identification of the generic component of the moduli space
Description of Legendrian curve germs with specific topological types
Advancement in classification of Legendrian curves
Abstract
We construct the generic component of the moduli space of the germs of Legendrian curves with generic plane projection topologicaly equivalent to a curve y^n = x^m, (n,m)=1.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Numerical Analysis Techniques