Some topological properties of surface bundles
Ursula Hamenst\"adt
TL;DR
This paper investigates the second integral cohomology group of surface bundles, describing it via Chern classes of fiberwise holomorphic line bundles to gain insights into its structure.
Contribution
It provides a novel description of the second cohomology group of surface bundles using Chern classes, linking topology with complex geometry.
Findings
Characterization of the second cohomology group as Chern classes
New insights into the structure of surface bundle cohomology
Connections between topology and complex line bundles
Abstract
We describe the second integral cohomology group of a surface bundle as the group of Chern classes of fiberwise holomorphic complex line bundles and use this to obtain information on this group.
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Taxonomy
TopicsGeometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory