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Jan 7, 2014 at 13:28 comment added Misha @AliShehper: This is true by the definition of the integer cohomology group.
Jan 7, 2014 at 11:27 comment added Ali Shehper And you said that $c_1$ is determined by its evalutation on all 2-chains. How is that true?
Jan 7, 2014 at 11:26 comment added Ali Shehper The authors are interested in a line bundle L on C. C is the configuration space of a manifold M. They say that instead of studying the properties of L on C, we can study its properties on a two-sphere B which is a subset of C.
Jan 7, 2014 at 3:43 history answered Danny Ruberman CC BY-SA 3.0