Corpus ID: 119712428

An Obstruction to Higher-Dimensional Kernel of Dirac Operators

@inproceedings{Muller2018AnOT,
  title={An Obstruction to Higher-Dimensional Kernel of Dirac Operators},
  author={Eva-Maria Muller},
  year={2018}
}
  • Eva-Maria Muller
  • Published 2018
  • Mathematics
  • This paper provides a K-theoretic obstruction for higher kernel dimension for Dirac operators. For this we use a fibre-wise Dirac operator that gives rise to a family of Fredholm operators representing a class in topological K-theory. Then Chern classes of this K-class contain some information about the kernel of the operators.