On the homotopy type of the Deligne-Mumford compactification

Details On the homotopy type of the Deligne-Mumford compactification On the homotopy type of the Deligne-Mumford compactification

2008-07-16

arxiv.org/abs/0807.2576v2

Algebraic & Geometric Topology 8 (2008) 2049-2062

Mathematics

Algebraic Topology

14 pages, published version

Scientific paper

An old theorem of Charney and Lee says that the classifying space of the category of stable nodal topological surfaces and isotopy classes of degenerations has the same rational homology as the Deligne-Mumford compactification. We give an integral refinement: the classifying space of the Charney-Lee category actually has the same homotopy type as the moduli stack of stable curves, and the etale homotopy type of the moduli stack is equivalent to the profinite completion of the classifying space of the Charney-Lee category.

Affiliated with

Also associated with

No associations

Rating

On the homotopy type of the Deligne-Mumford compactification 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 On the homotopy type of the Deligne-Mumford compactification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the homotopy type of the Deligne-Mumford compactification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-660710