A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Lefschetz pencils and divisors in moduli space
2001
Geometry and Topology
We study Lefschetz pencils on symplectic four-manifolds via the associated spheres in the moduli spaces of curves, and in particular their intersections with certain natural divisors. An invariant defined from such intersection numbers can distinguish manifolds with torsion first Chern class. We prove that pencils of large degree always give spheres which behave 'homologically' like rational curves; contrastingly, we give the first constructive example of a symplectic non-holomorphic Lefschetz
doi:10.2140/gt.2001.5.579
fatcat:oc6bcfhvvnhdthw75vwqwsmk44