Singular Poisson reduction of cotangent bundles.

Hochgerner, Simon, and Rainer, Armin. "Singular Poisson reduction of cotangent bundles.." Revista Matemática Complutense 19.2 (2006): 431-466. <http://eudml.org/doc/41909>.

@article{Hochgerner2006,
abstract = {We consider the Poisson reduced space (T* Q)/K, where the action of the compact Lie group K on the configuration manifold Q is of single orbit type and is cotangent lifted to T* Q. Realizing (T* Q)/K as a Weinstein space we determine the induced Poisson structure and its symplectic leaves. We thus extend the Weinstein construction for principal fiber bundles to the case of surjective Riemannian submersions Q → Q/K which are of single orbit type.},
author = {Hochgerner, Simon, Rainer, Armin},
journal = {Revista Matemática Complutense},
keywords = {Geometría simpléctica; Variedades de Poisson; Espacios y haces de fibras; Weinstein space; singular reduction; momentum map},
language = {eng},
number = {2},
pages = {431-466},
title = {Singular Poisson reduction of cotangent bundles.},
url = {http://eudml.org/doc/41909},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Hochgerner, Simon
AU - Rainer, Armin
TI - Singular Poisson reduction of cotangent bundles.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 2
SP - 431
EP - 466
AB - We consider the Poisson reduced space (T* Q)/K, where the action of the compact Lie group K on the configuration manifold Q is of single orbit type and is cotangent lifted to T* Q. Realizing (T* Q)/K as a Weinstein space we determine the induced Poisson structure and its symplectic leaves. We thus extend the Weinstein construction for principal fiber bundles to the case of surjective Riemannian submersions Q → Q/K which are of single orbit type.
LA - eng
KW - Geometría simpléctica; Variedades de Poisson; Espacios y haces de fibras; Weinstein space; singular reduction; momentum map
UR - http://eudml.org/doc/41909
ER -