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Master
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Exotic Spheres of Ddimension Seven

ContributorsCourvoisier, Yves
Master program titleMaster universitaire en Mathématiques
Defense date2006
Abstract

J.W. Milnor wrote an important article titled ”On manifolds homeomorphic to the 7-sphere”. This article shows the existence of an exotic differential structure on the 7-sphere. The aim of this work is to explain Milnor's article, and to reach this expectation we introduce differential theory and try to make clear the notion of Pontrjagin classes. Finally, a short introduction to Morse theory is added to give a wider point of view on the problematic.

eng
Keywords
  • Differential theory
  • Pontrjagin classes
  • Morse theory
  • Cohomology
  • Exotic sphere
  • Milnor
  • 7-sphere
Citation (ISO format)
COURVOISIER, Yves. Exotic Spheres of Ddimension Seven. 2006.
Main files (1)
Master thesis
accessLevelRestricted
Identifiers
  • PID : unige:17941
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