3 papers
math.DG2022
Some Modifications of Getzler's Grading technique
Andres Larrain-Hubach
This paper reviews the grading technique developed by Getzler to prove the local index theorem and shows how to adapt it to compute the leading terms of asymptotic expansions of tr…
math.DG2018
An Application of the Index Theorem for Manifolds with Fibered Boundaries
Andres Larrain-Hubach
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 in…
math.KT2011
K-Theories for Certain Infinite Rank Bundles
Andres Larrain-Hubach
Several authors have recently constructed characteristic classes for classes of infinite rank vector bundles appearing in topology and physics. These include the tangent bundle to…