Fibered boundaries and calorons

Authors

  • Andres Larrain-Hubach University of Dayton

DOI:

https://doi.org/10.53733/43

Keywords:

Index theory, Eta form, Caloron, monopole

Abstract

We use the index formula for fibered boundaries to compute the L2-index of the Dirac operator twisted by an Anti-Self-Dual instanton defined on X\times S^1, where X is a complete asymptotically conical three-manifold. As a particular case of this calculation, we get another derivation of the index formula for the Dirac operator twisted by a caloron on \mathbb{R}^3\times S^1.

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Author Biography

Andres Larrain-Hubach, University of Dayton

University of Dayton

Department of Mathematics

300 College Park, Dayton, Ohio 45469.

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Published

04-09-2020

How to Cite

Larrain-Hubach, A. (2020). Fibered boundaries and calorons. New Zealand Journal of Mathematics, 50, 11–19. https://doi.org/10.53733/43

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Section

Articles