Pseudo-Anosov diffeomorphisms and the monodromy of an open book

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Öztürk, Ferit.
dc.contributor.author	Eden, Sinan.
dc.date.accessioned	2023-03-16T11:21:37Z
dc.date.available	2023-03-16T11:21:37Z
dc.date.issued	2011.
dc.identifier.other	MATH 2011 E44
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15256
dc.description.abstract	In this thesis, we study the proof of the fact that any mapping class on a compact oriented surface with non-empty boundary can be made pseudo-Anosov after a sequence of positive stabilizations. In the language of contact topology, it means that an abstract open book can be stabilized in order to make its monodromy isotopic to a pseudo- Anosov homeomorphism. To attain this goal we use the curve complex of the surface and the classi cation of surface di eomorphisms, the latter of which is the secondary goal of this thesis. In order to classify surface di eomorphisms, we study Thurston's compacti cation of the Teichmüller space, which uses essential curves and measured foliations.
dc.format.extent	30cm.
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011.
dc.subject.lcsh	Diffeomorphisms.
dc.subject.lcsh	Teichmüller spaces.
dc.title	Pseudo-Anosov diffeomorphisms and the monodromy of an open book
dc.format.pages	xiii, 91 leaves ;