Bundle gerbes for topological insulators
Mathematical Physics
2015-12-04 v1 Mesoscale and Nanoscale Physics
math.MP
Abstract
Bundle gerbes are simple examples of higher geometric structures that show their utility in dealing with topological subtleties of physical theories. I review a recent construction of torsion topological invariants for condensed matter systems via equivariant bundle gerbes. The construction covers static and periodically driven systems with time reversal invariance in 2 and 3 space dimensions. It involves refinements of geometry of gerbes that are discussed in the first lecture, the second one being devoted to the applications to topological insulators.
Keywords
Cite
@article{arxiv.1512.01028,
title = {Bundle gerbes for topological insulators},
author = {Krzysztof Gawedzki},
journal= {arXiv preprint arXiv:1512.01028},
year = {2015}
}
Comments
lecture notes, 29 pages, 14 figures