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What is Equivariant Orientation Theory Explained about?

This document presents a theory of orientations of G-vector bundles, where G is a compact Lie group. It defines what it means for a G-vector bundle to be equivariantly orientable and develops a categorical framework to define orientations. The key ideas are: 1) Defining equivariant analogues of the fundamental groupoid and category of vector bundles. 2) Introducing the notion of a "bundle of groupoids" over the orbit category to construct the category SVG(n) in a way that a G-bundle is orientable iff its

Author

Epic Win

Language

EN