VIRTUAL 3-MANIFOLDS

被引：0

作者：

Matveev, S., V ^{[1
]}

机构：

[1] Chelyabinsk State Univ, Kashirin Bros St 129, Chelyabinsk 454001, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2009年 / 6卷

关键词：

3-manifold; special spine; virtual;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the class if all compact 3-manifolds to a class of new objects called virtual 3-manifolds. Each virtual 3-manifold determines a 3-manifold with singularities of the type Con(RP2) and may be presented by a triangulation as well as by a special spine. Many properties and invariants of 3-manifolds can be extended to the virtual ones. We restrict ourselves to mentioning Turaev-Viro invariants and two-sheeted branched coverings of virtual 3-manifolds.

引用

页码：518 / 521

页数：4