The Euler characteristic of a generic wavefront in a $3$-manifold
Authors: S. Izumiya and W. L. Marar
Journal: Proc. Amer. Math. Soc. 118 (1993), 1347-1350
MSC: Primary 58C27; Secondary 57M20, 57R45
MathSciNet review: 1165055
Full-text PDF Free Access
Abstract: We give a relation between Euler characteristics of a generic closed Legendrian surface and its wavefront.
- 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
- 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 https://doi.org/10.1007/BFb0086384
V. I. Arnol’d, Singularities of caustics and wavefronts, Math. Appl. (Soviet Ser.), vol. 62, Kluwer Academic, Dordrecht, 1990.
W. L. Marar, The Euler characteristic of the disentanglement of the image of a corank $1$ map germ, Lecture Notes in Math., vol. 1462, Springer, Berlin and New York, 1991, pp. 212-220.