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Cohomology in algebra, geometry, physicsand statistics
Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class
Speaker’s name:
Anton Galaev
Speaker’s affiliation:
University Hradec Kralove
Place:
ZOOM, Meeting ID:895-276-2498
Date:
Wednesday, 22. April 2020 - 11:30 to 12:30
Abstract:
The definition of the Reeb foliation depends upon two real functions satisfying certain conditions. All these foliations are pairwise homeomorphic and have trivial Godbillon-Vey class. We construct explicit examples of the Reeb foliations that are not diffeomorphic. For this purpose we show that a modified Godbillon-Vey class defined by Losik is non-trivial for some Reeb foliations and trivial for some other Reeb foliations. This characteristic class takes values in the second order frame bundle of the leaf space of the foliation. This is a joint work with Ya. Bazaikin and P. Gumenyuk.
As usual we shall start coffee at 11:00 at ZOOM, Meeting ID 895-276-2498. A direct link to the meeting shall be sent to you at 10 AM on the same day. After the end of seminar we still have 30 minutes for discussion.