Sergiy Maksymenko
Institute of Mathematics of the National Academy of Sciences of Ukraine
https://www.imath.kiev.ua/~maks/
Date(s) : 22/09/2022 iCal
11 h 00 min - 12 h 00 min
Exposé sur Zoom avec transmission live dans la salle des séminaires.
Abstract:
Let F be a foliation with a « singular » submanifold B on a smooth manifold M and E be a regular neighbourhood of B in M.
Under certain « homogeneity » assumptions on F near B it is proved that every leaf preserving diffeomorphism h of M is isotopic via a leaf preserving isotopy to a diffeomorphism which coincides with some vector bundle morphism of E near B. This result is mutually a foliated and compactly supported variant of a well known statement that every diffeomorphism h of Rn fixing the origin is isotopic to the linear isomorphism induced by its Jacobi matrix of h at 0.
I also present examples of computation of the homotopy type of the group of leaf preserving diffeomorphisms of certain simple Morse-Bott foliations on lens spaces.
The talk is based on the recent preprint
https://arxiv.org/abs/2208.05876
with Oleksandra Khokhliuk
Coordonnées réunion Zoom:
Sujet : Séminaire de Géométrie et Topologie de Marseille
Heure : 22 sept. 2022 10:30 AM Paris
Participer à la réunion Zoom
https://univ-amu-fr.zoom.us/j/88486591060?pwd=SHRTSUNvai81TnNweW0yaitzYjh6QT09
ID de réunion : 884 8659 1060
Code secret : voir annonce par mail
Emplacement
FRUMAM, St Charles (2ème étage)
Catégories