Geodesic
On the topology of wave fronts in spaces of low dimension
Izvestiya. Mathematics, Tome 76 (2012) no. 2, pp. 375-418

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We calculate the adjacency indices of the singularities of generic wave fronts in spaces of dimension $n\le6$. As a corollary, we find new conditions for the coexistence of singularities of wave fronts.
Keywords: Legendrian maps, wave fronts, (multi)singularities, adjacency index, Euler characteristic. 
V. D. Sedykh. On the topology of wave fronts in spaces of low dimension. Izvestiya. Mathematics, Tome 76 (2012) no. 2, pp. 375-418. http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a7/
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