Singular cosphere bundle reduction

Details Singular cosphere bundle reduction Singular cosphere bundle reduction

2005-06-30

arxiv.org/abs/math/0506623v1

Trans. Am. Math. Soc. 359 (2007) 4209-4235

Mathematics

Symplectic Geometry

26 pages, two figures

Scientific paper

This paper studies singular contact reduction for cosphere bundles at the zero value of the momentum map. A stratification of the singular quotient, finer than the contact one and better adapted to the bundle structure of the problem, is obtained. The strata of this new stratification are a collection of cosphere bundles and coisotropic or Legendrian submanifolds of their corresponding contact components.

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