Foliations on supermanifolds and characteristic classes

Camille Laurent-Gengoux

Vol. 228 (2006), No. 1, 119–164

DOI: 10.2140/pjm.2006.228.119

Abstract

We construct secondary characteristic classes of regular superfoliations on smooth supermanifolds. We interpret these secondary characteristic classes as characteristic classes of flat foliated connections.

Keywords

superfoliation, supergeometry, secondary characteristic classes

Mathematical Subject Classification 2000

Primary: 14M30

Secondary: 53C10

Milestones

Received: 3 February 2005

Accepted: 31 March 2006

Published: 1 November 2006