2014/09/17 by Nicolas Dutertre, Dutertre, Nicolas, Raimundo N. Araújo Dos Santos +7
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG #math.GT
paper · pdf · doi:10.48550/arxiv.1409.5053
arxiv created 2014/09/17 · arxiv updated 2014/09/18
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.