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Morse theory for hamiltonians

  • Michèle Audin
Part of the Progress in Mathematics book series (PM, volume 93)

Abstract

The most famous and spectacular theorem we shall prove in this chapter is the convexity theorem of Atiyah [18] and Guillemin-Sternberg [38] which asserts that the image of a compact symplectic manifold under the moment map of a hamiltonian torus action is a convex polyhedron (see 4.2.1).

Keywords

Symplectic Manifold Homotopy Type Morse Theory Convex Polyhedron Morse Function 
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

© Birkhäuser Verlag Basel 1991

Authors and Affiliations

  • Michèle Audin
    • 1
  1. 1.IRMA Université Louis PasteurStrasbourg CedexFrance

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