On the Lego-Teichmuller game
Abstract
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- September 1998
- DOI:
- 10.48550/arXiv.math/9809057
- arXiv:
- arXiv:math/9809057
- Bibcode:
- 1998math......9057B
- Keywords:
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- Geometric Topology;
- Quantum Algebra
- E-Print:
- 33 pages, lots of figures, LaTeX2e