In mathematics, particularly in the field of differential geometry and algebraic topology, Chern classes are important invariants associated with complex vector bundles. They provide a way to study the curvature and topology of these bundles, contributing to many areas such as characteristic classes, complex differential geometry, and algebraic geometry. To introduce Chern classes, let's break down the concepts: 1. **Complex Vector Bundles**: A complex vector bundle is a collection of complex vector spaces parametrized smoothly by a base manifold.
Articles by others on the same topic
Chern classes are characteristic classes of vector bundles satisfying functoriality and the Whitney product formula for a short exact sequence.