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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.
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Contributor : Nicolas Dutertre <>
Submitted on : Wednesday, September 17, 2014 - 2:49:07 PM
Last modification on : Monday, March 9, 2020 - 6:15:54 PM
Long-term archiving on: : Thursday, December 18, 2014 - 11:16:40 AM


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


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⟩



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