Direct image for multiplicative and relative K-theories from transgression of the families index theorem, part 3

Details Direct image for multiplicative and relative K-theories from transgression of the families index theorem, part 3 Direct image for multiplicative and relative K-theories from transgression of the families index theorem, part 3

2008-04-04

arxiv.org/abs/0804.0728v1

Mathematics

Differential Geometry

Scientific paper

This is the final part of the work started in math.DG/0611281 and
math.DG/0703916. Here the question of double fibration ois adressed both for
relative k-theory and free multiplicative K-theory. In the case of relative and
``nonfree'' multiplicative K-theory, the direct image is proved to be
functorial for double submersions.

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