On the adjacency of type \(D\) singularities of a front (Q6639452)

Simple stable germs of Legendrian maps are numbered by the symbols \(A_{\mu}\), \(D_{\mu}^{\pm}\), \(E_6\), \(E_7\) and \(E_8\) up to Legendrian equivalence. Consider the unordered set of symbols that are the types of germs of a generic Legendrian map at the preimages of a given point. The formal commutative product of these symbols is called the type of the multisingularity of the map at the point. The adjacency indices of monosingularities have been previously calculated by the author and by V. A. Vassiliev. In the present paper the author calculates the adjacency indices of monosingularities of types \(D_{\mu}^{\pm}\) to multisingularities of types \(D_{\nu}^{\pm}A_{\mu_1}^{k_1}\ldots A_{\mu_p}^{k_p}\).