First order local invariants of planar caustics
Ra\'ul Oset Sinha, Mar\'ia del Carmen Romero Fuster
TL;DR
This paper investigates first order local invariants of Vassiliev type for Lagrangian immersions with planar caustics, providing examples and analyzing bifurcation diagrams to understand their behavior.
Contribution
It introduces new examples of 2-parameter families of Lagrangian maps and studies their bifurcation diagrams, advancing the understanding of invariants of planar caustics.
Findings
Identification of first order local invariants for Lagrangian immersions
Examples of 2-parameter families of Lagrangian maps
Analysis of bifurcation diagrams of these families
Abstract
We study first order local invariants of Vassiliev type for Lagrangian immersions with generic planar caustics. For this we produce some examples of 2-parameter families of Lagrangian maps and study their bifurcation diagrams.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Mathematics and Applications