A geometric description of the homology of surface bundles
Abstract
In the present note we describe geometrically the homology classes in the total space of a surface bundle over a surface in terms of the holonomy map. We treat the cases where the base surface is closed or has one boundary component. We replace the wrong theorem of the previous version by some observations on the homology of surface bundles and explain why our previous strategy failed.
 Publication:

arXiv eprints
 Pub Date:
 March 2016
 arXiv:
 arXiv:1603.07639
 Bibcode:
 2016arXiv160307639C
 Keywords:

 Mathematics  Geometric Topology;
 57M50
 EPrint:
 9 pages, 1 figure