Orbit configuration spaces associated to discrete subgroups of PSL(2,R)

Details Orbit configuration spaces associated to discrete subgroups of PSL(2,R) Orbit configuration spaces associated to discrete subgroups of PSL(2,R)

2003-10-24

arxiv.org/abs/math/0310393v1

Mathematics

Algebraic Topology

19 pages

Scientific paper

The purpose of this article is to analyze several Lie algebras associated to "orbit configuration spaces" obtained from a group G acting freely, and properly discontinuously on the upper 1/2-plane H^2. The Lie algebra obtained from the descending central series for the associated fundamental group is shown to be isomorphic, up to a regrading, to (1) the Lie algebra obtained from the higher homotopy groups of "higher dimensional arrangements" modulo torsion, as well as (2)the Lie obtained from horizontal chord diagrams for surfaces. The resulting Lie algebras are similar to those studied in [13, 14, 15, 2, 7, 8, 6]. The structure of a related graded Poisson algebra defined below and obtained from an analogue of the infinitesimal braid relations parametrized by G is also addressed.

Affiliated with

Also associated with

No associations

Rating

Orbit configuration spaces associated to discrete subgroups of PSL(2,R) 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 Orbit configuration spaces associated to discrete subgroups of PSL(2,R), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orbit configuration spaces associated to discrete subgroups of PSL(2,R) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-342698