The index theorem of lattice Wilson--Dirac operators via higher index theory
Mathematical Physics
2020-09-09 v1 K-Theory and Homology
math.MP
Abstract
We give a proof of the index theorem of lattice Wilson--Dirac operators, which states that the index of a twisted Dirac operator on the standard torus is described in terms of the corresponding lattice Wilson--Dirac operator. Our proof is based on the higher index theory of almost flat vector bundles.
Keywords
Cite
@article{arxiv.2009.03570,
title = {The index theorem of lattice Wilson--Dirac operators via higher index theory},
author = {Yosuke Kubota},
journal= {arXiv preprint arXiv:2009.03570},
year = {2020}
}
Comments
20 pages