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math.DG2008★ 1 cited
A version of smooth K-theory adapted to the total Chern class
Alain Berthomieu
A version of smooth K-theory is constructed, which is adapted to the total Chern class instead of the Chern character (contrarily to previous theories). Some total Chern class morp…
math.DG2008★ 1 cited
Direct image for multiplicative and relative K-theories from transgression of the families index theorem, part 3
Alain Berthomieu
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 multiplica…