Fibered boundaries and calorons

Andres Larrain-Hubach

doi:10.53733/43

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 $\mathbb{R}^3\times S^1.$