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SUMMARY:Yaroslav Bazaikin (Jan Evangelista Purkyně University in Ústí n
 ad Labem)
DTSTART:20241113T123000Z
DTEND:20241113T133000Z
DTSTAMP:20260413T115734Z
UID:PHK-cohomology-seminar/114
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/114/">On Chern-Losik class for codimension two foliations</a>\n
 by Yaroslav Bazaikin (Jan Evangelista Purkyně University in Ústí nad La
 bem) as part of Prague-Hradec Kralove seminar Cohomology in algebra\, geom
 etry\, physics and statistics\n\n\nAbstract\nLosik classes generalize char
 acteristic 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 foliati
 on with two leaves with a hyperbolic holonomy group. In the talk the const
 ruction of the Chern-Losik class to foliations of arbitrary codimension is
  done. The non-triviality of the Chern-Losik class of codimension two foli
 ations is investigated. Examples of codimension two foliations with nontri
 vial Chern-Losik class are constructed.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/114/
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