Search for dissertations about: "geometry topology"

Showing result 1 - 5 of 63 swedish dissertations containing the words geometry topology.

  2. 1. Topology of moduli spaces and operads

    Author : Dan Petersen; Carel Faber; Ravi Vakil; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  4. 2. Multipoint Okounkov bodies, strong topology of ω-plurisubharmonic functions and Kähler-Einstein metrics with prescribed singularities

    Author : Antonio Trusiani; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Okounkov bodies; Seshadri constant; Kähler-Einstein metrics; Kähler Geometry; Canonical metrics; Fano manifolds; Pluripotential theory; Complex Monge-Ampère equations; Kähler packing;

    Abstract : The most classical topic in Kähler Geometry is the study of Kähler-Einstein metrics as solution of complex Monge-Ampère equations. This thesis principally regards the investigation of a strong topology for ω-plurisubharmonic functions on a fixed compact Kähler manifold (X,ω), its connection with complex Monge-Ampère equations with prescribed singularities and the consequent study of singular Kähler-Einstein metrics. READ MORE

  5. 3. Stable phenomena for some automorphism groups in topology

    Author : Erik Lindell; Dan Petersen; Dan Margalit; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Representation stability; Torelli groups; homotopy automorphisms; rational homotopy theory; Mathematics; matematik;

    Abstract : This licentiate thesis consists of two papers about topics related to representation stability for different automorphisms groups of topological spaces and manifolds.In Paper I, we study the rational homology groups of \textit{Torelli groups} of smooth, compact and orientable surfaces. READ MORE

  6. 4. Topology Meets Frustration : Exact Solutions for Topological Surface States on Geometrically Frustrated Lattices

    Author : Flore Kiki Kunst; Emil Bergholtz; Jack Lidmar; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Topology; boundary states; surface states; edge states; Chern insulator; Weyl semimetal; Theoretical Physics; teoretisk fysik;

    Abstract : One of the main features of topological phases is the presence of robust boundary states that are protected by a topological invariant. Famous examples of such states are the chiral edge states of a Chern insulator, the helical edge states of a two-dimensional Z2 insulator, and the Fermi arcs of Weyl semimetals. READ MORE

  7. 5. Digital Geometry and Khalimsky Spaces

    Author : Erik Melin; Christer Kiselman; Gunilla Borgefors; Mikael Passare; Jean Serra; Uppsala universitet; []
    Keywords : Applied mathematics; Khalimsky topology; digital geometry; digital topology; Alexandrov space; digital surface; digital curve; digital manifold; continuous extension; smallest-neighborhood space; image processing; Tillämpad matematik;

    Abstract : Digital geometry is the geometry of digital images. Compared to Euclid’s geometry, which has been studied for more than two thousand years, this field is very young.Efim Khalimsky’s topology on the integers, invented in the 1970s, is a digital counterpart of the Euclidean topology on the real line. READ MORE