Algebraic Topology
The Chern character is a topological invariant associated with complex vector bundles, providing a way to study their geometry through cohomology. It captures important information about the curvature and topology of the bundles, and it is closely related to other invariants such as Chern classes. By connecting the geometric properties of fiber bundles and differentiable structures, the Chern character plays a significant role in understanding various aspects of topology and geometry.
congrats on reading the definition of chern character. now let's actually learn it.