Geodesic
Topology of singularities of a~stable real caustic germ of type $E_6$
Izvestiya. Mathematics , Tome 82 (2018) no. 3, pp. 596-611

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We study manifolds of singular points of a fixed type for a stable real caustic germ of type $E_6$. We prove the contractibility of every connected component of the manifold of singular points that are not points of transversal intersection of smooth branches of the caustic and calculate the number of these components.
Keywords: Lagrangian maps, caustics, simple singularities, multisingularities, Euler characteristic, adjacency index. 
@article{IM2_2018_82_3_a7,
     author = {V. D. Sedykh},
     title = {Topology of singularities of a~stable real caustic germ of type $E_6$},
     journal = {Izvestiya. Mathematics },
     pages = {596--611},
     publisher = {mathdoc},
     volume = {82},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2018_82_3_a7/}
}
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V. D. Sedykh. Topology of singularities of a~stable real caustic germ of type $E_6$. Izvestiya. Mathematics , Tome 82 (2018) no. 3, pp. 596-611. http://geodesic.mathdoc.fr/item/IM2_2018_82_3_a7/