On the Lego-Teichmuller game
几何拓扑
2007-05-23 v1 量子代数
摘要
For a smooth oriented surface S, denote by M(S) the set of all ways to represent S as a result of gluing together standard spheres with holes (``the Lego game''). In this paper we give a full set of simple moves and relations which turn M(S) into a connected and simply-connected 2-complex. Results of this kind were first obtained by Moore and Seiberg, but their paper contains serious gaps. Our proof is based on a different approach and is much more rigorous.
引用
@article{arxiv.math/9809057,
title = {On the Lego-Teichmuller game},
author = {Bojko Bakalov and Alexander Kirillov},
journal= {arXiv preprint arXiv:math/9809057},
year = {2007}
}
备注
33 pages, lots of figures, LaTeX2e