Mathematics – Differential Geometry
Scientific paper
2010-06-29
Mathematics
Differential Geometry
43 pages, 7 figures, title changed, overall organization of the paper modified, some corrections, new material added
Scientific paper
In two former papers, the authors independently proved that the space of hyperbolic cone-3-manifolds with cone angles less than 2{\pi} and fixed singular locus is locally parametrized by the cone angles. In this sequel, we investigate the local shape of the deformation space when the singular locus is no longer fixed, i.e. when the singular vertices can be split. We show that the different possible splittings correspond to specific pair-of-pants decompositions of the smooth parts of the links of the singular vertices, and that under suitable assumptions the corresponding subspace of deformations is parametrized by the cone angles of the original edges and the lengths of the new ones.
Montcouquiol Grégoire
Weiß Hartmut
No associations
LandOfFree
Complex twist flows on surface group representations and the local shape of the deformation space of hyperbolic cone-3-manifolds 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 Complex twist flows on surface group representations and the local shape of the deformation space of hyperbolic cone-3-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex twist flows on surface group representations and the local shape of the deformation space of hyperbolic cone-3-manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-314523