Branched Standard Spines of 3-manifolds
Branched Standard Spines of 3-manifolds
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DOI：
10.1007/bfb0093620
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发表时间：
1997-04
期刊：
影响因子：
--
通讯作者：
R. Benedetti;C. Petronio
中科院分区：
文献类型：
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作者：
R. Benedetti;C. Petronio
本书提供了（封闭、定向）3-流形、梳状3-流形、框架3-流形和旋转3-流形类别的统一组合实现。在所有四种情况下，实现的对象都是有限的增强图，并且只需要考虑有限的多个局部移动。这些实现基于分支标准脊柱的概念，本书中将其作为分支表面概念与标准脊柱概念的组合进行介绍。本书面向对低维拓扑感兴趣的读者，并假设读者熟悉基础知识。附上一系列问题，其中一些涉及与量子不变量理论的关系。
This book provides a unified combinatorial realization of the categroies of (closed, oriented) 3-manifolds, combed 3-manifolds, framed 3-manifolds and spin 3-manifolds. In all four cases the objects of the realization are finite enhanced graphs, and only finitely many local moves have to be taken into account. These realizations are based on the notion of branched standard spine, introduced in the book as a combination of the notion of branched surface with that of standard spine. The book is intended for readers interested in low-dimensional topology, and some familiarity with the basics is assumed. A list of questions, some of which concerning relations with the theory of quantum invariants, is enclosed.