Triangulations and volume form on moduli spaces of flat surfaces

Details Triangulations and volume form on moduli spaces of flat surfaces Triangulations and volume form on moduli spaces of flat surfaces

2010-02-17

arxiv.org/abs/1002.3279v1

Mathematics

Differential Geometry

42 pages

Scientific paper

In this paper, we are interested in flat metric structures with conical singularities on surfaces which are obtained by deforming translation surface structures. The moduli space of such flat metric structures can be viewed as some deformation of the moduli space of translation surfaces. Using geodesic triangulations, we define a volume form on this moduli space, and show that, in the well-known cases, this volume form agrees with usual ones, up to a multiplicative constant.

Affiliated with

Also associated with

No associations

Rating

Triangulations and volume form on moduli spaces of flat surfaces 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 Triangulations and volume form on moduli spaces of flat surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Triangulations and volume form on moduli spaces of flat surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-52034