A lattice version of the Atiyah-Singer index theorem
arXiv:2007.06239 · doi:10.1007/s00220-021-04021-1
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.
27 pages, final version