Dirac optimal reduction
Tudor S. Ratiu, Madeleine Jotz
TL;DR
This paper extends the regular Optimal Reduction Theorem to proper Dirac actions, providing a unified framework for point and orbit reduction and highlighting its role in desingularization compared to standard singular Dirac reduction.
Contribution
It generalizes the Optimal Reduction Theorem to proper Dirac actions and compares it with standard singular Dirac reduction, emphasizing desingularization.
Findings
Unified reduction framework for Dirac actions.
Comparison clarifies desingularization benefits.
Extension of optimal reduction to broader class of actions.
Abstract
The purpose of this paper is to generalize the regular Optimal Reduction Theorem to general proper Dirac actions, formulated both in terms of point and orbit reduction. A comparison to general standard singular Dirac reduction is given emphasizing the desingularization role played by optimal reduction.
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Taxonomy
TopicsControl and Stability of Dynamical Systems · Numerical methods for differential equations · Homotopy and Cohomology in Algebraic Topology