The second rational homology group of the moduli space of curves with level structures

Details The second rational homology group of the moduli space of curves with level structures The second rational homology group of the moduli space of curves with level structures

2008-09-25

arxiv.org/abs/0809.4477v3

Mathematics

Geometric Topology

27 pages, 4 figures, mild revision. To appear in Adv. Math

Scientific paper

Let $\Gamma$ be a finite-index subgroup of the mapping class group of a closed genus $g$ surface that contains the Torelli group. For instance, $\Gamma$ can be the level $L$ subgroup or the spin mapping class group. We show that $H_2(\Gamma;\Q) \cong \Q$ for $g \geq 5$. A corollary of this is that the rational Picard groups of the associated finite covers of the moduli space of curves are equal to $\Q$. We also prove analogous results for surface with punctures and boundary components.

Affiliated with

Also associated with

No associations

Rating

The second rational homology group of the moduli space of curves with level structures 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 The second rational homology group of the moduli space of curves with level structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The second rational homology group of the moduli space of curves with level structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182559