2 citations · 5 across the 4 of their papers we have counts for
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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…
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…
Direct image for multiplicative and relative -theories from transgression of the families index theorem, part 2
Alain Berthomieu
This is the sequel of the first part math.DG/0611281. Here, the procedure of transgressing the families index theorem (the so-called -form) is adapted to take in account the cas…
Direct image for multiplicative and relative -theories from transgression of the families index theorem, part 1
Alain Berthomieu
This paper contains the constructions of a real manifold version of relative K-theory, and of an extension of Karoubi's multiplicative K-theory suggested by U. Bunke (which I call…