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The Milnor Fibration and the Milnor Lattice

  • Alexandru Dimca
Part of the Universitext book series (UTX)

Abstract

In this section we introduce various Milnor fibrations, in particular, the global Milnor fibration associated with a weighted homogeneous polynomial. Then we discuss the basic properties of the corresponding monodromy operators. Let On+1 = ℂ{x0,…,xn{ be the ℂ-algebra of analytic function germs at the origin 0 of ℂn+1 and let (X, 0) be a hypersurface singularity defined by an equation f = 0, for some fOn+1 with f(0) = 0. Here n ≥ 0 is a positive integer. There are two equivalent fibrations which, in the literature, are called the Milnor fibration of the function germ f (or of the hypersurface singularity (X, 0)).

Keywords

Complete Intersection Homotopy Type Function Germ Hypersurface Singularity Monodromy Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Alexandru Dimca
    • 1
  1. 1.School of Mathematics and StatisticsThe University of SydneySydneyAustralia

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