A lattice version of the Atiyah-Singer index theorem
Differential Geometry
2021-02-24 v3 High Energy Physics - Lattice
Mathematical Physics
K-Theory and Homology
math.MP
Quantum Algebra
Abstract
We formulate and prove a lattice version of the Atiyah-Singer index theorem. The main theorem gives a -theoretic formula for an index-type invariant of operators on lattice approximations of closed integral affine manifolds. We apply the main theorem to an index problem of Wilson-Dirac operators in lattice gauge theory.
Keywords
Cite
@article{arxiv.2007.06239,
title = {A lattice version of the Atiyah-Singer index theorem},
author = {Mayuko Yamashita},
journal= {arXiv preprint arXiv:2007.06239},
year = {2021}
}
Comments
27 pages, final version