Higher operations in string topology of classifying spaces
Abstract
Examples of non-trivial higher string topology operations have been regrettably rare in the literature. In this paper, working in the context of string topology of classifying spaces, we provide explicit calculations of a wealth of non-trivial higher string topology operations associated to a number of different Lie groups. As an application of these calculations, we obtain an abundance of interesting homology classes in the twisted homology groups of automorphism groups of free groups, the ordinary homology groups of holomorphs of free groups, and the ordinary homology groups of affine groups over the integers and the field of two elements.
Keywords
Cite
@article{arxiv.1502.04141,
title = {Higher operations in string topology of classifying spaces},
author = {Anssi Lahtinen},
journal= {arXiv preprint arXiv:1502.04141},
year = {2017}
}
Comments
49 pages, v2: added an example of the non-trivial homology classes constructed to the introduction, v3: version accepted for publication, Mathematische Annalen, 2016. 63 pages