Turkish Journal of Mathematics
Abstract
We give an explicit formula for the signature of handlebody bundles over the circle interms of the homological monodromy. This gives a cobounding function of Meyer's signature cocycle on the mapping class group of a 3-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.
DOI
10.3906/mat-1911-67
Keywords
Signature cocycle, handlebody group, mapping class groups
First Page
1520
Last Page
1533
Recommended Citation
KUNO, Y, & SATO, M (2020). The Meyer function on the handlebody group. Turkish Journal of Mathematics 44 (5): 1520-1533. https://doi.org/10.3906/mat-1911-67
