Fibrations structure and degree formulae for Milnor fibers - Archive ouverte HAL Access content directly
Journal Articles RIMS Kokyuroku Bessatsu Year : 2016

Fibrations structure and degree formulae for Milnor fibers

Abstract

In this survey, we remind some fibrations structure theorems (also called Milnor's fibrations) recently proved in the real and complex case, in the local and global settings. We give several Poincaré-Hopf type formulae which relates the Euler-Poincaré characteristic of these fibers (also called Milnor's fibers) and indices (topological degree) of appropriated vector fields defined on spheres of radii small or big enough.
Fichier principal
Vignette du fichier
RIMS-september-16.pdf (214.45 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01064938 , version 1 (17-09-2014)

Identifiers

Cite

Nicolas Dutertre, Raimundo N. Araújo dos Santos, Ying Chen, Antonio Andrade. Fibrations structure and degree formulae for Milnor fibers. RIMS Kokyuroku Bessatsu, 2016, Theory of singularities of smooth mappings and around it B55, pp.41-65. ⟨hal-01064938⟩
153 View
79 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More