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An $L^2$-index formula of monopoles with Dirac-type singularities

Differential Geometry 2019-10-23 v3

Abstract

We prove the Fredholmness of Dirac operators of monopoles with Dirac-type singularities on oriented complete Riemannian 33-folds, and we also calculate the L2L^2-indices of them.

Keywords

Cite

@article{arxiv.1808.06227,
  title  = {An $L^2$-index formula of monopoles with Dirac-type singularities},
  author = {Masaki Yoshino},
  journal= {arXiv preprint arXiv:1808.06227},
  year   = {2019}
}

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16 pages