Voevodsky's Lectures on Motivic Cohomology 2000/2001

Part of the Abel Symposia book series (ABEL, volume 4)


The lectures which provided the source for these notes covered several different topics which are related to each other but which do not in any reasonable sense form a coherent whole. As a result, this text is a collection of four parts which refer to each other but otherwise are independent. In the first part we introduce the motivic homotopy category and connect it with the motivic cohomology theory discussed in [7]. The exposition is a little unusual because we wanted to avoid any references to model structures and still prove the main theorem 7. We were able to do it modulo 12 where we had to refer to the next part.


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© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.School of MathematicsInstitute for Advanced StudyPrincetonUSA

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