The Meyer function on the handlebody group
Geometric Topology
2020-09-24 v2
Abstract
We give an explicit formula for the signature of handlebody bundles over the circle in terms of the homological monodromy. This gives a cobounding function of Meyer's signature cocycle on the mapping class group of a -dimensional handlebody, i.e., the handlebody group. As an application, we give a topological interpretation for the generator of the first cohomology group of the hyperelliptic handlebody group.
Cite
@article{arxiv.1904.00203,
title = {The Meyer function on the handlebody group},
author = {Yusuke Kuno and Masatoshi Sato},
journal= {arXiv preprint arXiv:1904.00203},
year = {2020}
}
Comments
14 pages, 1 figure