Supersymetrie et mathematiques

Details Supersymetrie et mathematiques Supersymetrie et mathematiques

1994-05-16

arxiv.org/abs/hep-th/9405101v2

Physics

High Energy Physics

High Energy Physics - Theory

45 pages. Resubmitted due to previous transmission errors

Scientific paper

Nous presentons une introduction aux concepts de la supersymetrie par l'intermediaire de trois exemples: (i) Mecanique quantique supersymetrique, (ii) Superalgebres de Lie, (iii) Superconnexions de Quillen. Les points communs a toutes ces notions sont soulignes et des applications sont indiquees. En particulier nous esquissons la demonstration du theoreme de Gauss et Bonnet d'apres Patodi et la demonstration des inegalites de Morse d'apres Witten.

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