E-Dissertationen: Browsing E-Dissertationen by Author "Ballmann, Werner"
Now showing items 1-16 of 16
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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 ... -
The Dirac operator under collapse with bounded curvature and diameter
Roos, Saskia Christine (2018-09-26)A sequence (<em>M<sub>i</sub></em>, <em>g<sub>i</sub></em>)<sub><em>i</em></sub> of closed Riemannian manifolds with uniform bounded curvature and diameter collapses if it converges to a lower dimensional compact metric ... -
Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
Zerbini, Federico (2018-03-05)We study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are ... -
L2-index theory, the Chern conjecture, and manifolds of special holonomy
Hoffmann, Michael (2014-12-12)In this dissertation we study a conjecture attributed to Chern and Hopf, a generalization of Atiyah's <em>L</em><sup>2</sup>-index theorem used by Gromov to prove said conjecture for Kähler manifolds, and an extension to ... -
Géométrie tt* et applications pluriharmoniques
Schäfer, Lars (2006)Dans cette thèse nous introduisons la notion de fibré tt* (E,D,S), de fibré tt* métrique (E,D,S,g) et de fibré tt* symplectique (E,D,S,ω) sur un fibré vectoriel E au-dessus d'une variété complexe, dans le langage de la ... -
Lagrangian field theories: ind/pro-approach and L∞-algebra of local observables
León Delgado, Néstor (2018-05-11)Field Theories in Physics can be formulated giving a local Lagrangian density. Locality is imposed using the infinite jet bundle. That bundle is viewed as a pro-finite dimensional smooth manifold and that point of view has ... -
Manifolds with Killing Spinors and Pinching of First Dirac Eigenvalues
Vargas Domínguez, Andrés (2007)We consider compact manifolds with metrics of Hölder regularity <i>C</i><sup>1, a</sup> and employ the theory of convergence of Riemannian manifolds in this case, to study Riemannian spin manifolds carrying almost Killing ... -
On some variational problems in geometry
Matthiesen, Henrik (2018-08-28)In this thesis we consider several variational problems in geometry that have a connection to the spectrum of the Laplacian acting on functions. In the first part, we study a quantity called the analytic systole, which was ... -
On the geometry of nodal sets and nodal domains
Georgiev, Bogdan (2018-12-13)In the present work, we study and prove results related to the nodal geometry of Laplacian eigenfunctions on closed Riemannian manifolds, as well as solutions to more general classes of elliptic partial differential ... -
Scalar curvature rigidity on locally conformally flat manifolds with boundary
Spiegel, Fabian-Michael (2016-12-21)Inspired by the work of F. Hang and X. Wang and partial results by S. Raulot, we prove a scalar curvature rigitidy result for locally conformally flat manifolds with boundary in the spirit of the well-known Min-Oo conjecture. ... -
Selberg and Ruelle zeta functions on compact hyperbolic odd dimensional manifolds
Spilioti, Polyxeni (2015-11-12)In this thesis we study the Selberg and Ruelle zeta functions on compact oriented hyperbolic manifolds<br /> X of odd dimension d. We prove that they converge in some half-plane Re(s)>c and that they admit a meromorphic ... -
Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds
Fedosova, Ksenia (2016-10-28)In this thesis we study the Selberg zeta functions and the analytic torsion of hyperbolic odd-dimensional orbifolds $Gamma backslash mathbb{H}^{2n+1}$. In the first part of the thesis we restrict ourselves to compact ... -
Singular propagators in deformation quantization and Shoikhet-Tsygan formality
Löffler, Johannes (2015-06-03)This thesis adds some details to the seminal approach to logarithmic formality and interpolation formality by Alekseev, Rossi, Torossian and Willwacher: We prove that the interpolation family of Kontsevich formality maps ... -
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 ... -
Unbounded Bivariant K-theory and an Approach to Noncommutative Fréchet Spaces
Ivankov, Nikolay (2011-09-19)In the current work we thread the problems of smoothness in non-commutative $C^*$-algebras arising form the Baaj-Julg picture of the $KK$-theory. We introduce the notion of smoothness based on the pre-$C^*$-subalgebras of ... -
Zur Kohomologie und Spektraltheorie des Hodge-Laplaceoperators von Mannigfaltigkeiten mit gefaserter Spitzenmetrik
Müller, Jörn (2009-06-23)Eine Mannigfaltigkeit <i>X</i> mit gefaserter Spitzenmetrik kann als Verallgemeinerung der geometrischen Struktur von lokal-symmetrischen Räumen vom <i>Q</i>-Rang Eins angesehen werden.<br /> In der vorliegenden Arbeit ...