학술논문
The Maslov cycle as a Legendre singularity and projection of a wavefront set
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article
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Source
Bulletin of the Brazilian Mathematical Society. 44(4)
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Language
Abstract
A Maslov cycle is a singular variety in the lagrangian grassmannian Λ(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 Λ(V). We show here that S is the wavefront set of a Fourier integral distributionwhich is "evaluation at 0 of the quantizations". © 2013 Sociedade Brasileira de Matemática.