Abstract
The computation of correlation function on Riemann surfaces is an important problem in conformai field theories. However, explicit constructions of the correlation functions on g > 1 Riemann surfaces exist only for a very few theories which are basically free’ theories. One of the main difficulties here is that the mapping class groups on arbitrary genus surfaces were not known. Although it has been proven that the mapping class group (MCG) of a surface of genus g is generated by 3g - 1 Dehn twists. However, the minimal set of generators was not known.2,3,4,5
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Zha, CZ. (1990). The Minimal Set of the Generators of Dehn Twists on a High Genus Riemann Surface. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_46
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DOI: https://doi.org/10.1007/978-1-4684-9148-7_46
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