Abstract
We consider an oriented surface and a cellular complex of curves on , defined by Hatcher and Thurston in 1980. We prove by elementary means, without Cerf theory, that the complex is connected and simply connected. From this we derive an explicit simple presentation of the mapping class group of , following the ideas of Hatcher–Thurston and Harer.
Citation
Bronisław Wajnryb. "An elementary approach to the mapping class group of a surface." Geom. Topol. 3 (1) 405 - 466, 1999. https://doi.org/10.2140/gt.1999.3.405
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