On Lagrangian and Legendrian Singularities

We describe the topology of stable simple multisingularities of Lagrangian and Legendrian maps. In particular, the tables of adjacency indices of monosingularities to multisingularities are given for generic caustics and wave fronts in spaces of small dimensions. The paper is an extended version of...

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Bibliographic Details
Published in:Arnold mathematical journal 2021-06, Vol.7 (2), p.195-212
Main Author: Sedykh, Vyacheslav D.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Research Contribution
Topology
Wave fronts
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Summary:We describe the topology of stable simple multisingularities of Lagrangian and Legendrian maps. In particular, the tables of adjacency indices of monosingularities to multisingularities are given for generic caustics and wave fronts in spaces of small dimensions. The paper is an extended version of the author’s talk in the International Conference “Contemporary mathematics” in honor of the 80th birthday of V. I. Arnold (Moscow, Russia, 2017).
ISSN:2199-6792
2199-6806
DOI:10.1007/s40598-020-00161-9