On Lagrangian and Legendrian singularities

DOI10.1007/s40598-020-00161-9zbMath1484.57027OpenAlexW3094252512MaRDI QIDQ823814

Vyacheslav D. Sedykh

Publication date: 16 December 2021

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40598-020-00161-9

zbMATH Keywords

surveycausticswave frontsreal singularitiesadjacency indexLagrangian mapsLegendrian mapsstable simple multisingularities

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Lagrangian submanifolds; Maslov index (53D12) Singularities of differentiable mappings in differential topology (57R45) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Critical points of functions and mappings on manifolds (58K05) Topological properties of mappings on manifolds (58K15)

Cites Work

• On the topology of wave fronts in spaces of low dimension
• Topology of singularities of a stable real caustic germ of type $E_6$
• On the topology of stable Lagrangian maps with singularities of types $ A$ and $ D$
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