Super fiber bundles, connection forms, and parallel transport

  title={Super fiber bundles, connection forms, and parallel transport},
  author={Konstantin Eder},
  • K. Eder
  • Published 4 January 2021
  • Mathematics, Physics
The present work provides a mathematically rigorous account on super fiber bundle theory, connection forms and their parallel transport, that ties together various approaches. We begin with a detailed introduction to super fiber bundles. We then introduce the concept of so-called relative supermanifolds as well as bundles and connections defined in these categories. Studying these objects turn out to be of utmost importance in order to, among other things, model anticommuting classical… 

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