Consider a holomorphic foliation F on a complex manifold. In the 1970s, Baum-Bott constructed residue classes associated with each singular component of F. These classes satisfy an index theorem, which computes characteristic classes of F.

A natural question since their work is how to compute or find natural representatives of such cohomology classes. Apart from the case where the foliation is of rank one and has isolated singularities, no general result is known. In this talk I will show that each Baum-Bott class can be naturally represented by a residue current supported by the singular component of F. This is a joint work with Richard Lärkäng and Elizabeth Wulcan.

## Date and Venue

Start Date

Venue

FC1.031

End Date

## Speaker

Lucas Kaufmann

## Speaker's Institution

Institut Denis Poisson, University of Orléans

## Files

seminarposter.pdf196.24 KB

## Area

Geometry and Topology