Johnson's homomorphisms and the Arakelov-Green function

Details Johnson's homomorphisms and the Arakelov-Green function Johnson's homomorphisms and the Arakelov-Green function

2008-01-28

arxiv.org/abs/0801.4218v1

Mathematics

Geometric Topology

Scientific paper

Let $\pi: {\mathbb C}_g \to {\mathbb M}_g$ be the universal family of compact Riemann surfaces of genus $g \geq 1$. We introduce a real-valued function on the moduli space ${\mathbb M}_g$ and compute the first and the second variations of the function. As a consequence we relate the Chern form of the relative tangent bundle $T_{{\mathbb C}_g/{\mathbb M}_g}$ induced by the Arakelov-Green function with differential forms on ${\mathbb C}_g$ induced by a flat connection whose holonomy gives Johnson's homomorphisms on the mapping class group.

Affiliated with

Also associated with

No associations

Rating

Johnson's homomorphisms and the Arakelov-Green function 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 Johnson's homomorphisms and the Arakelov-Green function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Johnson's homomorphisms and the Arakelov-Green function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156686