Complexity of 3-orbifolds
几何拓扑
2011-01-18 v1
摘要
We extend Matveev's theory of complexity for 3-manifolds, based on simple spines, to (closed, orientable, locally orientable) 3-orbifolds. We prove naturality and finiteness for irreducible 3-orbifolds, and, with certain restrictions and subtleties, additivity under orbifold connected sum. We also develop the theory of handle decompositions for 3-orbifolds and the corresponding theory of normal 2-suborbifolds.
引用
@article{arxiv.math/0410433,
title = {Complexity of 3-orbifolds},
author = {Carlo Petronio},
journal= {arXiv preprint arXiv:math/0410433},
year = {2011}
}
备注
29 pages, 12 figures