Braids, trees, and operads

Details Braids, trees, and operads Braids, trees, and operads

2001-09-13

arxiv.org/abs/math/0109086v1

Mathematics

Algebraic Topology

Notes from an expository talk at the Gdansk conference on algebraic topology, 5 June 2001]

Scientific paper

The space of unordered configurations of distinct points in the plane is aspherical, with Artin's braid group as its fundamental group. Remarkably enough, the space of ordered configurations of distinct points on the real projective line, modulo projective equivalence, has a natural compactification (as a space of equivalence classes of trees) which is also (by a theorem of Davis, Januszkiewicz, and Scott) aspherical. The classical braid groups are ubiquitous in modern mathematics, with applications from the theory of operads to the study of the Galois group of the rationals. The fundamental groups of these new configuration spaces are not braid groups, but they have many similar formal properties.

Affiliated with

Also associated with

No associations

Rating

Braids, trees, and operads 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 Braids, trees, and operads, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Braids, trees, and operads will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-540806