Chow Groups of Quotient Stacks
نویسنده
چکیده
1.1. Principal G-bundles. Topology is concerned with topological spaces and continuous maps between them. But the data is a topological space of so complicated and infinite in nature that it can be very difficult even to tell when two topological spaces are “the same.” For instance, all n-dimensional manifolds look locally the same. A central theme in algebraic topology is to attach algebraic invariants to topological spaces, such as homotopy groups, homology groups, cohomoloy groups, etc. Today we will be discussing a very specific kind of topological object, which is nonetheless ubiquitous: the principal G-bundle.
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