JEDNOSTKA NAUKOWA KATEGORII A+

Umbilical characteristic number of Lagrangian mappings of 3-dimensional pseudooptical manifolds

Tom 33 / 1996

Maxim È. Kazarian Banach Center Publications 33 (1996), 161-170 DOI: 10.4064/-33-1-161-170

Streszczenie

As shown by V. Vassilyev [V], $D_4^±$ singularities of arbitrary Lagrangian mappings of three-folds form no integral characteristic class. We show, nevertheless, that in the pseudooptical case the number of $D_4^±$ singularities counted with proper signs forms an invariant. We give a topological interpretation of this invariant, and its applications. The results of the paper may be considered as a 3-dimensional generalization of the results due to V. I. Arnold [A].

Autorzy

  • Maxim È. Kazarian

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