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International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold
December 20, 2012 12:00–12:45, Moscow, Steklov Mathematical Institute of RAS
 


Singular reduction

T. S. Ratiu
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T. S. Ratiu



Abstract: An overview of singular reduction for general symplectic manifolds will be presented culminating in the stratification theorem of reduced symplectic spaces. The optimal momentum map will be introduced and linked to the cylinder valued momentum map as well as the symplectic strata. Time permitting, the situation of Poisson and Dirac manifolds will also be presented.

Supplementary materials: arnold_75.pdf (216.3 Kb)

Language: English
 
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