三维流形的Johansson表示的一组移动。大纲
A set of moves for Johansson representation of 3-manifolds. An outline
摘要：
闭三维流形M中的Dehn球是浸入M中的只有双曲线和三重点奇点的2-球。Dehn球面S填充M，如果它定义了M的胞腔分解。S的双曲线在S^{2}中的逆像是S的Johansson图，并且如果S填充M，则可以从该图重建M。M的Johansson表示是M的填充Dehn球的Johansson图。在J. M. Montesinos证明了每个闭三维流形都有一个来自于非同伦填充Dehn球面的Johansson表示。本文给出了3-流形的Johansson表示的一组移动。在即将发表的论文中，它证明了这一套移动足以有关不同的约翰森表示相同的3流形来自nulhomotopic填充德恩领域。这个结果的证明在这里概述。
英文摘要：
A Dehn sphere in a closed 3-manifold M is a 2-sphere immersed in M with only double curve and triple point singularities. The Dehn sphere S fills M if it defines a cell-decomposition of M. The inverse image in S^{2} of the double curves of S is the Johansson diagram of S and if S fills M it is possible to reconstruct M from the diagram. A Johansson representation of M is the Johansson diagram of a filling Dehn sphere of M. In a recent paper of J. M. Montesinos it is proved that every closed 3-manifold has a Johansson representation coming from a nulhomotopic filling Dehn sphere. In this paper a set of moves for Johansson representations of 3-manifolds is given. In a forthcoming paper it is proved that this set of moves suffices for relating different Johansson representations of the same 3-manifold coming from nulhomotopic filling Dehn spheres. The proof of this result is outlined here.
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