平面焦散线的一阶局部不变量
代数拓扑
2017-01-13 v2 微分几何
摘要
我们研究具有一般平面焦散的拉格朗日浸入的瓦西里耶夫类型一阶局部不变量。为此，我们给出一些拉格朗日映射的2参数族的例子，并研究它们的分支图。
引用
@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}
}
备注
This paper has been withdrawn because it seems an invariant dual to the D_4 strata is missing.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