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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Euler characteristic of a generic wavefront in a $3$-manifold
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by S. Izumiya and W. L. Marar PDF
Proc. Amer. Math. Soc. 118 (1993), 1347-1350 Request permission

Abstract:

We give a relation between Euler characteristics of a generic closed Legendrian surface and its wavefront.
References
  • V. I. Arnol′d, Singularities of caustics and wave fronts, Mathematics and its Applications (Soviet Series), vol. 62, Kluwer Academic Publishers Group, Dordrecht, 1990. MR 1151185, DOI 10.1007/978-94-011-3330-2
  • W. L. Marar, The Euler characteristic of the disentanglement of the image of a corank $1$ map germ, Singularity theory and its applications, Part I (Coventry, 1988/1989) Lecture Notes in Math., vol. 1462, Springer, Berlin, 1991, pp. 212–220. MR 1129034, DOI 10.1007/BFb0086384
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 118 (1993), 1347-1350
  • MSC: Primary 58C27; Secondary 57M20, 57R45
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1165055-4
  • MathSciNet review: 1165055