An Obstruction to Higher-Dimensional Kernel of Dirac Operators
K-Theory and Homology
2018-02-20 v1 Differential Geometry
Abstract
This paper provides a -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 -theory. Then Chern classes of this -class contain some information about the kernel of the operators.
Keywords
Cite
@article{arxiv.1802.06568,
title = {An Obstruction to Higher-Dimensional Kernel of Dirac Operators},
author = {Eva-Maria Müller},
journal= {arXiv preprint arXiv:1802.06568},
year = {2018}
}