6-9 November 2017
Saint Flour
Europe/Paris timezone

Smooth $K$-theory

8 Nov 2017, 09:00
Hôtel des Planchettes (Saint Flour)

Hôtel des Planchettes

Saint Flour

7 Rue des Planchettes, 15100 Saint-Flour


Alain Berthomieu


Smooth K-theory is defined on a smooth manifold as an extension of topological K-theory by differential forms. In the case of a proper submersion, direct image for smooth K-theory is defines using Bismut and al.'s eta-forms, which are differential forms entering in the transgression of the local families index theorem. The construction of a direct image in the case of a closed immersion should use corresponding objects which are currents instead of smooth differential forms.

Presentation Materials

There are no materials yet.
Your browser is out of date!

Update your browser to view this website correctly. Update my browser now