Equivariant geometry and the cohomology of the moduli space of curves

Details Equivariant geometry and the cohomology of the moduli space of curves Equivariant geometry and the cohomology of the moduli space of curves

2010-06-11

arxiv.org/abs/1006.2364v2

Mathematics

Algebraic Geometry

34 pages - to appear in forthcoming Handbook of Moduli, edited by G. Farkas and I. Morrison

Scientific paper

In this expository article we give a categorical definition of the integral cohomology ring of a stack. We show that for quotient stacks the categorical cohomology may be identified with equivariant cohomology. Via this identification we show that for Deligne-Mumford quotient stacks this cohomology is rationally isomorphic to the rational cohomology of the coarse moduli space. The theory is presented with a focus on the stacks of smooth and stable curves.

Affiliated with

Also associated with

No associations

Rating

Equivariant geometry and the cohomology of the moduli space of curves 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 Equivariant geometry and the cohomology of the moduli space of curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant geometry and the cohomology of the moduli space of curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-78037