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. 
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     author = {V. D. Sedykh},
     title = {On the topology of wave fronts in spaces of low dimension},
     journal = {Izvestiya. Mathematics },
     pages = {375--418},
     publisher = {mathdoc},
     volume = {76},
     number = {2},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a7/}
}
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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/