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

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

We prove the Fredholmness of Dirac operators of monopoles with Dirac-type singularities on oriented complete Riemannian $3$-folds, and we also calculate the $L^2$-indices of them.

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Bibliographische Detailangaben
1. Verfasser: Yoshino, Masaki
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
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Zusammenfassung:We prove the Fredholmness of Dirac operators of monopoles with Dirac-type singularities on oriented complete Riemannian $3$-folds, and we also calculate the $L^2$-indices of them.
DOI:10.48550/arxiv.1808.06227