Corpus ID: 220041886

Characteristic Classes in Computer Algebra

  title={Characteristic Classes in Computer Algebra},
  author={Michael Jung},
  journal={arXiv: Differential Geometry},
  • Michael Jung
  • Published 2020
  • Mathematics
  • arXiv: Differential Geometry
  • We develop a framework to compute characteristic classes and their forms in the computer algebra system SageMath using symbolic calculus. In order to do this, we make use of the Chern-Weil approach in which characteristic classes of vector bundles in the de Rham cohomology are obtained by arbitrary connections. Along the way, we implement the notion of vector bundles, their sections and connections as well as mixed differential forms in SageMath. We conclude by discussing some application… CONTINUE READING

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