Fibered boundaries and calorons

  • Andres Larrain-Hubach University of Dayton
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.

Author Biography

Andres Larrain-Hubach, University of Dayton

University of Dayton

Department of Mathematics

300 College Park, Dayton, Ohio 45469.

Published
2020-09-04
Section
Articles