UMR 5582 - Laboratoire de mathématiques
Published on UMR 5582 - Laboratoire de mathématiques (https://www-fourier.univ-grenoble-alpes.fr)

Accueil > Louis Funar

Louis Funar [1]

Singular fibrations over surfaces
Friday, 21 January, 2022 - 10:30
Résumé : 

Singular fibrations generalize achiral Lefschetz fibrations of 
4-manifolds over surfaces
while sharing some of their properties. For instance, relatively minimal 
singular fibrations are determined by their monodromy. We explain how to 
construct
examples of singular fibrations with a single singularity and 
Matsumoto's construction of singular fibrations of the 4-sphere. 
Previous results of Hirzebruch and Hopf on 2-plane fields with finitely 
many singularities are outlined in connection with the work of Neumann 
and Rudolph on the enhanced Milnor number. Eventually, we prove that 
closed orientable 4-manifolds with large first Betti number and 
vanishing second Betti number  do not admit singular fibrations.

Institution de l'oratrice / orateur: 
IF
Thème de recherche : 
Topologie
Salle : 
4

Source URL: https://www-fourier.univ-grenoble-alpes.fr/?q=en/node/26787

Links
[1] https://www-fourier.univ-grenoble-alpes.fr/?q=en/node/26787