Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893714 | Journal of Geometry and Physics | 2007 | 26 Pages |
Abstract
We consider the problem of cotangent bundle reduction for proper non-free group actions at zero momentum. We show that in this context the symplectic stratification obtained by Sjamaar and Lerman refines in two ways: (i) each symplectic stratum admits a stratification which we call the secondary stratification with two distinct types of pieces, one of which is open and dense and symplectomorphic to a cotangent bundle; (ii) the reduced space at zero momentum admits a finer stratification than the symplectic one into pieces that are coisotropic in their respective symplectic strata.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Matthew Perlmutter, Miguel Rodríguez-Olmos, M. Esmeralda Sousa-Dias,