E-Dissertationen: Auflistung E-Dissertationen nach Autor "Teichner, Peter"
Anzeige der Dokumente 1-11 von 11
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Casson-Whitney unknotting, Deep slice knots and Group trisections of knotted surface type
Ruppik, Benjamin Matthias (2022-08-26)In this thesis, we study knotted surfaces in 4-dimensional manifolds from three different but interconnected perspectives.
In the first part, we introduce a measure of 'distance', or rather 'length', between ... -
Geometric and topological recursion and invariants of the moduli space of curves
Giacchetto, Alessandro (2021-10-29)A thread common to many problems of enumeration of surfaces is the idea that complicated cases can be recovered from simpler ones through a recursive procedure. Solving the problem for the simplest topologies and expressing ... -
A geometric approach to the embedding calculus knot invariants
Kosanović, Danica (2020-10-09)In this thesis we consider two homotopy theoretic approaches to the study of spaces of knots: the theory of finite type invariants of Vassiliev and the embedding calculus of Goodwillie and Weiss, and address connections ... -
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 ... -
On the Hilbert uniformization of moduli spaces of flat G-bundles over Riemann surfaces
Stein, Luba (2014-01-27)In this thesis, we study the moduli spaces M_(g,q)^m (G)of flat pointed principal G-bundles over Riemann surfaces X. The genus of X is g 0 and G is a fixed Lie group. Further, we are given m 0 permutable marked points in ... -
Periodicity in motivic homotopy theory and over BP*BP
Krause, Achim (2018-07-03)In classical homotopy theory, the Periodicity theorem by Devinatz-Hopkins-Smith gives a complete answer as to what types of periodicities can occur in stable homotopy theory. In motivic homotopy theory, there are additional ... -
Perturbative quantization of the two-dimensional supersymmetric sigma model
Arnold, Bertram Niklas (2022-03-15)The two-dimensional nonlinear sigma model is a classical field theory whose fields are maps from a Riemann surface Σ to a Riemannian manifold X, and whose classical solutions are minimal surfaces. In this thesis, we study ... -
Smooth 4-Manifolds and Surface Diagrams
Behrens, Stefan (2014-06-18)Surface diagrams are a diagrammatic representation of smooth, 4-dimensional manifolds. In fact, a surface diagram encodes a 4-manifold together with a map onto the 2-sphere. After giving a detailed proof of this correspondence, ... -
Two Models for the Homotopy Theory of Cocomplete Homotopy Theories
Szumiło, Karol (2014-08-06)There two major approaches to the problem of formalizing the notion of a "homotopy theory", they are homotopical algebra and higher category theory. The main result of this thesis is a precise comparison between these ... -
Unitary fermionic topological field theory
Stehouwer, Luuk Daniël (2024-02-29)Atiyah's axioms are one way to define rigorously what is a topological quantum field theory. He defined it as a symmetric monoidal functor from a bordism category to the category of vector spaces. To include fermions in ... -
Vertex Algebras and Factorization Algebras
Brügmann, Daniel Georg (2021-07-19)This thesis is about the relationship between vertex algebras and Costello-Gwilliam factorization algebras, two mathematical approaches to chiral conformal field theory. Many vertex algebras have already been constructed. ...