Chern class of a complex line bundle: Difference between revisions
(New page: ==Definition== ===Symbol-free definition=== Given a complex line bundle over a differential manifold, the '''Chern class''' of the complex line bundle is defined in the following...) |
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Latest revision as of 19:34, 18 May 2008
Definition
Symbol-free definition
Given a complex line bundle over a differential manifold, the Chern class of the complex line bundle is defined in the following equivalent ways:
- Pick a connection on the complex line bundle. Then, the Riemann curvature tensor of the connection is a closed 2-form Fill this in later