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Normal Morse Data for Complex Analytic Varieties

  • Mark Goresky
  • Robert MacPherson
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 14)

Abstract

In this chapter we describe the local topological structure of a complex analytic variety and a generic complex analytic function on that variety. Most of the material described in this section is fairly well known, see for example [Mi2], [Du], [H1], [H2], [HL3], [LK], [Kp4], [Lê3], [Lê4], [LT1]. However the proofs we give here are rigorous and are easy, given the technique of “moving the wall” which was developed in Part I.

Keywords

Morse Theory Morse Function Complex Link Lefschetz Theorem Nondegenerate Critical Point 
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 Berlin Heidelberg 1988

Authors and Affiliations

  • Mark Goresky
    • 1
  • Robert MacPherson
    • 2
  1. 1.Department of MathematicsNortheastern UniversityBostonUSA
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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