On 4-fold covering moves
几何拓扑
2014-10-01 v2
摘要
We prove the existence of a finite set of moves sufficient to relate any two representations of the same 3-manifold as a 4-fold simple branched covering of S^3. We also prove a stabilization result: after adding a fifth trivial sheet two local moves suffice. These results are analogous to results of Piergallini in degree 3 and can be viewed as a second step in a program to establish similar results for arbitrary degree coverings of S^3.
引用
@article{arxiv.math/0302225,
title = {On 4-fold covering moves},
author = {Nikos Apostolakis},
journal= {arXiv preprint arXiv:math/0302225},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-5.abs.html Version 2: correction added on page 138