On Thom polynomials of the singularities Dk and Ek

Yoshifumi ANDO

doi:10.2969/jmsj/04830593

On Thom polynomials of the singularities D_k and E_k

Yoshifumi ANDO

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JOURNAL FREE ACCESS

1996 Volume 48 Issue 3 Pages 593-606

DOI https://doi.org/10.2969/jmsj/04830593

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Published: 1996 Received: April 01, 1993 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Y. Ando, On the higher Thom polynomials of Morin singularities, Publ. Res. Inst. Math. Sci., Kyoto Univ., 23 (1987), 195-207.
2) Y. Ando, On local structures of the singularities A_k, D_k and E_k of smooth maps, Trans. Amer. Math. Soc., 331 (1992), 639-652.
3) Y. Ando, An existence theorem of foliations with singularities A_k, D_k and E_k, Hokkaido Math. J., 20 (1991), 571-578.
4) V. I. Arnold, Normal forms for functions near degenerate critical points, the Weyl groups A_k, D_k, E_k and lagrangian singularities, Funktsional. Anal. i Prilozhen, 6 (1972), 3-25.
5) J. M. Boardman, Singularities of differentiable maps, Publ. Math. Inst. HES, 33 (1967), 21-57.
6) A. Haefliger and A. Kosinski, Un théorème de Thom sur les singularités des applications différentiables, Séminaire H. Cartan E. N. S., 8 (1956/57).
7) A. Haefliger, Lectures on the theorem of Gromov, Proc. Liverpool Singularities, Lecture Notes in Math., 209, Springer, 1971, pp. 128-141.
8) H. I. Levine, Singularities of differentiable mappings, Proc. Liverpool Singularities, Lecture Notes in Math., 192, Springer, 1971, pp. 1-89.
9) I. R. Porteous, Simple singularities, Proc. Liverpool Singularities, Lecture Notes in Math., 192, Springer, 1971, pp. 286-307.
10) F. Ronga, Le calcul des classes duals singularités de Boardman d'ordre deux, Comment. Math. Helv., 47 (1972), 15-35.
11) R. Thom, Les singularités des applications différentiables, Ann. Inst. Fourier, 6 (1955-56), 43-87.
12) V. A. Vassilyev, Lagrange and Legendre characteristic classes, Gorden and Breach Sci. Publ, New York, London, 1988.

Right : [1] Y. Ando, On the higher Thom polynomials of Morin singularities, Publ. Res. Inst. Math. Sci., Kyoto Univ., 23 (1987), 195-207.
[2] Y. Ando, On local structures of the singularities A_k, D_k and E_k of smooth maps, Trans. Amer. Math. Soc., 331 (1992), 639-652.
[3] Y. Ando, An existence theorem of foliations with singularities A_k, D_k and E_k, Hokkaido Math. J., 20 (1991), 571-578.
[4] V. I. Arnold, Normal forms for functions near degenerate critical points, the Weyl groups A_k, D_k, E_k and lagrangian singularities, Funktsional. Anal. i Prilozhen, 6 (1972), 3-25.
[5] J. M. Boardman, Singularities of differentiable maps, Publ. Math. Inst. HES, 33 (1967), 21-57.
[6] A. Haefliger and A. Kosinski, Un théorème de Thom sur les singularités des applications différentiables, Séminaire H. Cartan E. N. S., 8 (1956/57).
[7] A. Haefliger, Lectures on the theorem of Gromov, Proc. Liverpool Singularities, Lecture Notes in Math., 209, Springer, 1971, pp. 128-141.
[8] H. I. Levine, Singularities of differentiable mappings, Proc. Liverpool Singularities, Lecture Notes in Math., 192, Springer, 1971, pp. 1-89.
[9] I. R. Porteous, Simple singularities, Proc. Liverpool Singularities, Lecture Notes in Math., 192, Springer, 1971, pp. 286-307.
[10] F. Ronga, Le calcul des classes duals singularités de Boardman d'ordre deux, Comment. Math. Helv., 47 (1972), 15-35.
[11] R. Thom, Les singularités des applications différentiables, Ann. Inst. Fourier, 6 (1955-56), 43-87.
[12] V. A. Vassilyev, Lagrange and Legendre characteristic classes, Gorden and Breach Sci. Publ, New York, London, 1988.

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