2012/07/02 by A. J. Weinstein, Alan Weinstein, Weinstein, Alan
Mathematics · Physics and Astronomy · #53D12 (Primary) 58J40 #81S10 (Secondary) #Advanced Differential Geometry Research #FOS: Mathematics #Geometry and complex manifolds #Nonlinear Waves and Solitons #Symplectic Geometry (math.SG) #math.SG #msc:53D12 #msc:58J40 #msc:81S10
paper · pdf · doi:10.48550/arxiv.1207.0408
arxiv created 2012/07/02 · openalex publication_date 2012/07/02 · arxiv updated 2012/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A Maslov cycle is a singular variety in the lagrangian grassmannian L(V) of a symplectic vector space V consisting of all lagrangian subspaces having nonzero intersection with a fixed one. Givental has shown that a Maslov cycle is a Legendre singularity, i.e. the projection of a smooth conic lagrangian submanifold S in the cotangent bundle of L(V). We show here that S is the wavefront set of a Fourier integral distribution which is "evaluation at 0 of the quantizations".