English

Higher order fermionic and bosonic operators on cylinders and Hopf manifolds

Differential Geometry 2015-12-24 v1 Mathematical Physics Complex Variables math.MP

Abstract

Higher order higher spin operators are generalizations of kthkth-powers of the Dirac operator. In this paper, we study higher order higher spin operators defined on some conformally flat manifolds, namely cylinders and Hopf manifolds. We will also construct the kernels of these operators on these manifolds.

Keywords

Cite

@article{arxiv.1512.07323,
  title  = {Higher order fermionic and bosonic operators on cylinders and Hopf manifolds},
  author = {Chao Ding and Raymond Walter and John Ryan},
  journal= {arXiv preprint arXiv:1512.07323},
  year   = {2015}
}