A compactification for the spaces of convex projective structures on manifolds
| dc.creator | Alessandrini, Daniele | |
| dc.date | 2007-12-30 | |
| dc.date.accessioned | 2026-07-07T08:51:58Z | |
| dc.date.available | 2026-07-07T08:51:58Z | |
| dc.description | In this paper we construct a compactification for the parameter space of convex projective structures on a fixed n-manifold M. This parameter space is a closed semi-algebraic subset of the variety of characters of representations of the fundamental group of M in SL_{n+1}(R). The boundary is the inverse limit of an inverse system of logarithmic limit sets of this semi-algebraic set, in a sense it is the tropicalization of the parameter space. The interpretation of the boundary points can also be given using tropical geometry. This construction is a generalization of the construction of compactification of the Teichmüller spaces. | |
| dc.description | 35 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0801.0165 | |
| dc.identifier | http://arxiv.org/abs/0801.0165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145123 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Geometry | |
| dc.title | A compactification for the spaces of convex projective structures on manifolds | |
| dc.type | text |