English

Singular cosphere bundle reduction

Symplectic Geometry 2025-01-20 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0506623,
  title  = {Singular cosphere bundle reduction},
  author = {Oana Dragulete and Tudor S. Ratiu and Miguel Rodriguez-Olmos},
  journal= {arXiv preprint arXiv:math/0506623},
  year   = {2025}
}

Comments

26 pages, two figures