Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01064938
Contributor : Nicolas Dutertre <>
Submitted on : Wednesday, September 17, 2014 - 2:49:07 PM
Last modification on : Monday, March 9, 2020 - 6:15:54 PM
Document(s) archivé(s) le : Thursday, December 18, 2014 - 11:16:40 AM

Files

RIMS-september-16.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01064938, version 1
  • ARXIV : 1409.5053

Citation

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⟩

Share

Metrics

Record views

295

Files downloads

88