An Application of the Index Theorem for Manifolds with Fibered Boundaries

2018/09/11 by Larrain-Hubach, Andres
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.04066

Abstract

We show how the index formula for manifolds with fibered boundaries can be used to compute the index of the Dirac operator on Taub-NUT space twisted by an anti-self-dual generic instanton connection.

Related

• Index theory on Pin manifolds
• The index of Dirac operators on manifolds with fibered boundaries
• An L²-Index Theorem for Dirac Operators on S¹ * R³
• A short proof of an index theorem, II
• Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry