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arXiv · 2310.15748

On the complement to a real caustic germ of type $E_6$

Vyacheslav D. Sedykh
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Abstract

We prove that the complement to the caustic of a stable Lagrangian map germ of type $E_6^\pm$ has seven connected components, six of which are contractible and one is homotopy equivalent to a circle. The inverse image of the noncontractible component under this map has three connected components. The restriction of the map to one of them is a two-sheeted covering; the restriction to each of the other two is a diffeomorphism.

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Vyacheslav D. Sedykh. 2023-10-24. On the complement to a real caustic germ of type $E_6$. https://arxiv.org/abs/2310.15748

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