Cohomology groups of mapping class groups

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Öztürk, Ferit.
dc.contributor.author	Kara, Yasemin.
dc.date.accessioned	2023-03-16T11:21:41Z
dc.date.available	2023-03-16T11:21:41Z
dc.date.issued	2006.
dc.identifier.other	MATH 2006 K37
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15284
dc.description.abstract	The mapping class group of an orientable surface of genus g is the group of all orientation preserving piecewise linear homeomorphisms of the surface up to isotopy. In this thesis it is shown that the mapping class group of an orientable surface of genus g is generated by Dehn twists about nonseparating simple closed curves [15]. Then the notion of cohomology groups of a group is introduced following [18]. The first cohomology groups of the mapping class groups of orientable surfaces of genus g greater than one are shown to be trivial [16].
dc.format.extent	30cm.
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006.
dc.subject.lcsh	Class groups (Mathematics)
dc.subject.lcsh	Homology theory.
dc.title	Cohomology groups of mapping class groups
dc.format.pages	viii, 38 leaves;