E-Dissertationen: Browsing E-Dissertationen by Author "Hamenstädt, Ursula"
Now showing items 1-8 of 8
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The Curve Graph and Surface Construction in S x R
Irmer, Ingrid (2011-01-13)Suppose <em>S</em> is an oriented, compact surface with genus at least two. This thesis investigates the \homology curve complex" of <em>S</em>; a modification of the curve complex first studied by Harvey in which the ... -
Geometry of random 3-manifolds
Viaggi, Gabriele (2020-01-31)We study random 3-manifolds, as introduced by Dunfield and Thurston, from a geometric point of view. Within this framework, work of Maher allows us to equip a typical random 3-manifold with a canonical geometric structure, ... -
Homological Stability, Characteristic Classes and the Minimal Genus Problem
Kastenholz, Thorben Gerhard (2021-04-07)The purpose of this thesis is to study the (co-)homological properties of the classifying space of subsurface bundles in a trivial background bundle with fiber a manifold M. We will investigate homological stability ... -
Natural maps in higher Teichmüller theory
Slegers, Ivo (2021-09-17)In this thesis we consider harmonic maps and barycentric maps in the context of higher Teichmüller theory. We are particularly interested in how these maps can be used to study Hitchin representations. The main results of ... -
On arithmetic properties of Fuchsian groups and Riemann surfaces
Kucharczyk, Robert Anselm (2015-02-11)In this thesis, Riemann surfaces and their fundamental groups are studied from an arithmetic point of view. First the image of the absolute Galois group of a number field under Grothendieck's representation with values in ... -
On steady Kähler-Ricci solitons
Schäfer, Johannes (2021-08-26)In this thesis we study the existence and uniqueness of steady Kähler-Ricci solitons. We consider two classes of manifolds on which we obtain new examples of steady solitons by using different methods for each class. In ... -
Teichmüller curves in the Deligne-Mumford compactification
Ronkin, Igor (2008)<p>We study the intersection of the closure of a Teichmüller curve and the compactification divisor in the Delinge-Mumford compactification of the moduli space of Riemann surfaces. As an application, we evaluate the first ... -
Zero Partition Cycles: A Recursive Formula for Characteristic Classes of Surface Bundles
Pedron, Mark (2017-04-25)This thesis is concerned with characteristic classes of surface bundles. A complete description of the ring of stable rational characteristic classes is given by the work of Madsen and Weiss as the polynomial ring in the ...