# Chern class of a complex line bundle

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Revision as of 15:39, 13 April 2008 by Vipul (talk | contribs) (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...)

## 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*