Abstract
For a smooth oriented surface Σ, denote byM(Σ) the set of all ways to represent Σ 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 turnM(Σ) 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.
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Supported in part by NSF Grant DMS9622870.
Supported in part by NSF Grant DMS9610201.
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Bakalov, B., Kirillov, A. On the Lego-Teichmüller game. Transformation Groups 5, 207–244 (2000). https://doi.org/10.1007/BF01679714
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DOI: https://doi.org/10.1007/BF01679714