The singularities of the maps associated with Milnor fibrations

2012/11/24 by Daiki Sumida, Sumida, Daiki
Mathematics · #32S25 (Secondary) #32S55 (Primary) #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:32S25 #msc:32S55

paper · pdf · doi:10.48550/arxiv.1211.5670

16 pages, Milnor fibration, singular point, fold point

arxiv created 2012/11/24 · arxiv updated 2012/11/27

Abstract

Milnor fibrations have been studied since 1960's. In this paper, we study singular points of differentiable maps, called Milnor fibration product maps, obtained by several Milnor fibrations. We give a characterization of singular points of such product maps, and for the case of certain weighted homogeneous polynomials, a criterion for a fold point together with its index.

Related

• Fold singularities of the maps associated with Milnor fibration for mixed polynomials
• Results on Milnor Fibrations for mixed polynomials with non-isolated singularities
• Topology of the Milnor fibrations of polar weighted homogeneous polynomials
• Fibration theorems à la Milnor for differentiable maps with non-isolated singularities
• Topology of real Milnor fibration for non-isolated singularities