14 citations · 24 across the 10 of their papers we have counts for
7 papers · 1 filter
Asymptotics of a Modified Holomorphic Analytic Torsion
Andres Larrain Hubach
We prove a formula for the leading term of the asymptotic expansion of the holomorphic analytic torsion of the Dirac operator modified by the Clifford action of a real three-form.
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…
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…
Sobolev Maps into Compact Lie Groups and Curvature
Andres Larrain-Hubach, Doug Pickrell
These are notes on seminal work of Freed, and subsequent developments, on the curvature properties of (Sobolev Lie) groups of maps from a Riemannian manifold into a compact Lie gro…
Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem
Sergey A. Cherkis, Andres Larrain-Hubach, Mark Stern
We study finite action anti-self-dual Yang-Mills connections on the multi-Taub-NUT space. We establish the curvature and the harmonic spinors decay rates and compute the index of t…
Characteristic Classes and Zeroth Order Pseudodifferential Operators
Andrés Larrain-Hubach, Steven Rosenberg, Simon Scott +1
We provide evidence for the conjecture that the Wodzicki-Chern classes vanish for all bundles with the group Z of invertible zeroth order pseudodifferential operators as structure…
The order of curvature operators on loop groups
Andres Larrain-Hubach
For loop groups (free and based), we compute the exact order of the curvature operator of the Levi-Civita connection depending on a Sobolev space parameter. This extends results of…