On uniqueness of characteristic classes |
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Authors: | Elisenda Feliu |
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Institution: | Universitat de Barcelona, Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain |
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Abstract: | We give an axiomatic characterization of maps from algebraic K-theory. The results apply to a large class of maps from algebraic K-theory to any suitable cohomology theory or to algebraic K-theory. In particular, we obtain comparison theorems for the Chern character and Chern classes and for the Adams operations and λ-operations on higher algebraic K-theory. We show that the Adams operations and λ-operations defined by Grayson agree with the ones defined by Gillet and Soulé. |
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Keywords: | Primary 19E20 Secondary 19D10 14C17 |
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