Alain Berthomieu

most citedA version of smooth K-theory adapted to the total Chern class

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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…

math.DG2007★ 1 cited

Direct image for multiplicative and relative $K$ -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 $η$ -form) is adapted to take in account the cas…

A version of smooth K-theory adapted to the total Chern class

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 2

Direct image for multiplicative and relative $K$ -theories from transgression of the families index theorem, part 2