Ursula Hamenstaedt
Published 2012-06-01, updated 2020-01-09Version 2
This note discusses some properties of surface bundles over surfaces which follow from the Milnor Wood inequality for the Euler class of flat circle bundles over surfaces.
Comments: Due to a gap in the argument in the last section, this part has been removed. The first sections were rewritten and the results expanded, and the article was split into two parts. This is the first part. 13 pages
Surface bundles over surfaces with a fixed signature
Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
Signature of surface bundles and bounded cohomology
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