English

First order local invariants of planar caustics

Algebraic Topology 2017-01-13 v2 Differential Geometry

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.

Keywords

Cite

@article{arxiv.1512.05943,
  title  = {First order local invariants of planar caustics},
  author = {Raúl Oset Sinha and María del Carmen Romero Fuster},
  journal= {arXiv preprint arXiv:1512.05943},
  year   = {2017}
}

Comments

This paper has been withdrawn because it seems an invariant dual to the D_4 strata is missing. In any case the bifurcation diagrams are correct and the invariants obtained still hold