English

Combinatorial optimization in geometry

Geometric Topology 2007-05-23 v1 Mathematical Physics Differential Geometry math.MP Optimization and Control

Abstract

We study the moduli space of euclidean structures with cone points on a surface, and describe a decomposition into cells each of which corresponds to a given combinatorial type of Delaunay tessellation. We use some of the ideas to study hyperbolic structures on three-dimensional manifolds

Keywords

Cite

@article{arxiv.math/9907032,
  title  = {Combinatorial optimization in geometry},
  author = {Igor Rivin},
  journal= {arXiv preprint arXiv:math/9907032},
  year   = {2007}
}

Comments

27 pages, 1996 preprint