Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups

Details Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups

2009-05-20

arxiv.org/abs/0905.3395v2

Mathematics

Algebraic Topology

Streamlined exposition, minor errors corrected; 19 pages

Scientific paper

We prove surjectivity of the comparison map from continuous bounded cohomology to continuous cohomology for Hermitian Lie groups with finite center. For general semisimple Lie groups with finite center, the same argument shows that the image of the comparison map contains all the even generators. Our proof uses a Hirzebruch type proportionality principle in combination with Gromov's results on boundedness of primary characteristic classes and classical results of Cartan and Borel on the cohomology of compact homogeneous spaces.

Affiliated with

Also associated with

No associations

Rating

Surjectivity of the comparison map in bounded cohomology for Hermitian Lie 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 Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444347