On Chern-Losik class for codimension two foliations

Abstract: Losik classes generalize characteristic classes of foliations using Gelfand-Fuchs cohomology approach. The Chern-Losik class for foliations of codimension one was constructed by Losik, and he also showed the non-triviality of this class for a foliation with two leaves with a hyperbolic holonomy group. In the talk the construction of the Chern-Losik class to foliations of arbitrary codimension is done. The non-triviality of the Chern-Losik class of codimension two foliations is investigated. Examples of codimension two foliations with nontrivial Chern-Losik class are constructed.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( slides | video )

Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Series comments: Virtual coffee starts on Zoom already 15 minutes before the seminar.