Bounded cohomology and non-uniform perfection of mapping class groups

Details Bounded cohomology and non-uniform perfection of mapping class groups Bounded cohomology and non-uniform perfection of mapping class groups

2000-10-30

arxiv.org/abs/math/0010300v1

Invent. Math. 144 (2001), 169-175

Mathematics

Geometric Topology

to appear in Invent. Math

Scientific paper

10.1007/s002220100128

Using the existence of certain symplectic submanifolds in symplectic 4-manifolds, we prove an estimate from above for the number of singular fibers with separating vanishing cycles in minimal Lefschetz fibrations over surfaces of positive genus. This estimate is then used to deduce that mapping class groups are not uniformly perfect, and that the map from their second bounded cohomology to ordinary cohomology is not injective.

Affiliated with

Also associated with

No associations

Rating

Bounded cohomology and non-uniform perfection of mapping class groups 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 Bounded cohomology and non-uniform perfection of mapping class groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounded cohomology and non-uniform perfection of mapping class groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579336