Reductions, Resolutions and the Copolarity of Isometric Group Actions
Frederick Magata
TL;DR
This paper investigates the properties of reductions and copolarity in isometric group actions, introducing a resolution construction and providing illustrative examples to deepen understanding of these geometric concepts.
Contribution
It introduces a novel resolution construction for isometric actions relative to reductions and explores the copolarity, advancing theoretical understanding in geometric group actions.
Findings
Development of a resolution construction for isometric actions
Analysis of the copolarity in the context of reductions
Examples illustrating the theoretical concepts
Abstract
We present some results on reductions and the copolarity of isometric group actions, which we obtained in our thesis. We also describe a resolution construction for isometric actions with respect to a reduction and give examples.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology