Borel class and Cartan involution
Geometric Topology
2017-12-01 v2 Representation Theory
Abstract
In this note we prove that the Borel class of representations of 3-manifold groups to PGL(n,C) is preserved under Cartan involution up to sign. For representations to PGL(3,C) this is implied by a more general result of E. Falbel and Q. Wang, however our proof appears to be much shorter for that special case.
Cite
@article{arxiv.1711.07443,
title = {Borel class and Cartan involution},
author = {Thilo Kuessner},
journal= {arXiv preprint arXiv:1711.07443},
year = {2017}
}
Comments
5 pages, expanded introduction