Mathematics – Symplectic Geometry
Scientific paper
2000-11-27
Mathematics
Symplectic Geometry
13 pages. [To appear in Quarterly J. Math. (Oxford)]
Scientific paper
Symplectic four-manifolds give rise to Lefschetz fibrations, which are determined by monodromy representations of free groups in mapping class groups. We study the topology of Lefschetz fibrations by analysing the action of the monodromy on the universal cover of a smooth fibre. We give new and simple proofs that Lefschetz fibrations arising from pencils (i.e. with exceptional sections) never split as non-trivial fibre sums, and that no simple closed curve can be invariant to isotopy under the monodromy representation.
No associations
LandOfFree
Geometric monodromy and the hyperbolic disc does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Geometric monodromy and the hyperbolic disc, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric monodromy and the hyperbolic disc will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-217518