Euler Characteristic of the Moduli of Riemann Surfaces
dc.contributor.author | Mboya, Geoffrey O | |
dc.date.accessioned | 2018-10-19T11:36:32Z | |
dc.date.available | 2018-10-19T11:36:32Z | |
dc.date.issued | 2018 | |
dc.identifier.uri | http://hdl.handle.net/11295/104257 | |
dc.description.abstract | In this thesis we study the topology of the Deligne-Mumford compactified moduli space Mg;n of n pointed genus g stable Riemann surfaces. We decode the combinatorial information of the space through dual graphs of decorated Riemann surfaces in it. Finally, we extend the work of Harer and Zagier in [HZ86] to obtain the generating series of (and hence calculate) the Euler characteristic of the space in terms of Euler characteristics of Mg;n: | en_US |
dc.language.iso | en | en_US |
dc.publisher | University of Nairobi | en_US |
dc.title | Euler Characteristic of the Moduli of Riemann Surfaces | en_US |
dc.type | Thesis | en_US |