The motivic Thom isomorphism

Mathematics – Algebraic Topology

Scientific paper

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Talk at the Newton Institute, December 2002; final version, to appear in the Conference Proceedings

Scientific paper

The existence of a good theory of Thom isomorphisms in some rational category
of mixed Tate motives would permit a nice interpolation between ideas of
Kontsevich on deformation quantization, and ideas of Connes and Kreimer on a
Galois theory of renormalization, mediated by Deligne's ideas on motivic Galois
groups.

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