Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts
Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 3, pp. 10-22.

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V. A. Vassiliev. Characteristic classes of Lagrangian and Legendre manifolds dual to singularities of caustics and wave fronts. Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 3, pp. 10-22. http://geodesic.mathdoc.fr/item/FAA_1981_15_3_a1/

[1] Arnold V.I., “Lagranzhevy i lezhandrovy kobordizmy”, Funkts. analiz, 14:3 (1980), 1–13 | MR

[2] Arnold V.I., “Normalnye formy funkii”, Funkts. analiz, 6:4 (1972), 3–25 | MR

[3] Arnold V.I., “Kriticheskie tochki gladkikh funktsii i ikh normalnye formy”, UMN, XXX:5 (1975), 3–65 | DOI

[4] Arnold V.I., “O kharakteristicheskom klasse, vkhodyaschem v usloviya kvantovaniya”, Funkts. analiz, 1:1 (1967), 1–14 | MR | Zbl

[5] Fuks D.B., “O kharakteristicheskikh klassakh Maslova–Arnolda”, DAN SSSR, 178:2 (1968), 303–306 | MR | Zbl

[6] Arnold V.I., Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1974 | MR

[7] Thom R., “Les singularitées des applications differentiables”, Ann. Inst. Fourier, 6 (1956), 43–87 | DOI | MR | Zbl

[8] Ronga F., “Le calcul des classes duales aux singularites de Boardman d'ordre deux”, Comm. Math. Helv., 47:1 (1972), 15–35 | DOI | MR | Zbl

[9] Audin M., “La classe de cobordisme duale de la singularité et des points double d'une application differentiable”, C.r. Acad. scient. Paris, Ser. A, 289:15 (1979), 719–722 | MR | Zbl

[10] Levine H.J., “The singularities $S_1^q$”, Illinois J. Math., 8:1 (1964), 152–168 | DOI | MR | Zbl

[11] Damon J., Thom's polynomials for contact class singularities, Thesis, Harvard, 1972 | MR

[12] Lojasiewicz S., “Triangulation of semi-analitic sets”, Ann. Scuola Norm. Super Pisa, Sc. Fis. Mat. Ser. 3, 18:4 (1964), 449–474 | MR | Zbl

[13] Gabrielov A.M., “Kombinatornye formuly dlya klassov Pontryagina i $GL$-invariantnye tsepi”, Funkts. analiz, 12:2 (1978), 1–7 | MR | Zbl

[14] Arnold V.I., “Zamechaniya o metode statsionarnoi fazy i chislakh Kokstera”, UMN, XXVIII:5 (1973), 17–44 | MR

[15] Zakalyukin V.M., “O lagranzhevykh i lezhandrovykh osobennostyakh”, Funkts. analiz, 10:1 (1976), 26–36 | MR | Zbl

[16] Arnold V., “On some problems in singularity theory”, Papers Dedicated to the Memory of V.K. Patodi, Bombay, 1–10 | MR

[17] Arnold V.I., “Nekotorye nereshennye zadachi teorii osobennostei”, Trudy seminara S.L. Soboleva, 1, Novosibirsk, 1976, 5–15