Sökning: "Tobias Ekholm"

Visar resultat 6 - 10 av 10 avhandlingar innehållade orden Tobias Ekholm.

  1. 6. Surgeries on Legendrian Submanifolds

    Författare :Georgios Dimitroglou Rizell; Tobias Ekholm; Frédéric Bourgeois; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Contact manifolds; Legendrian submanifolds; Legendrian contact homology; Augmentations; Exact Lagrangian cobordisms; Mathematics; Matematik;

    Sammanfattning : This thesis consists of a summary of two papers dealing with questions related to Legendrian submanifolds of contact manifolds together with exact Lagrangian cobordisms between Legendrian submanifolds. The focus is on studying Legendrian submanifolds from the perspective of their handle decompositions. LÄS MER

  3. 7. Amyloid-β Protofibril Formation and Neurotoxicity : Implications for Alzheimer’s Disease

    Författare :Ann-Sofi Johansson; Lars Lannfelt; Frida Ekholm Pettersson; Pär Gellerfors; Tobias Hartmann; Uppsala universitet; []
    Nyckelord :Neurosciences; Amyloid-β; Neurotoxicity; Aggregation; Protofibrils; Alzheimer s disease; Neurovetenskap;

    Sammanfattning : Alzheimer’s disease (AD) is the most common cause of dementia. A characteristic feature of AD is the presence of amyloid plaques in the cortex and hippocampus of the brain. The principal component of these plaques is the amyloid-β (Aβ) peptide, a cleavage product from proteolytic processing of amyloid precursor protein (APP). LÄS MER

  4. 8. Orienting Moduli Spaces of Flow Trees for Symplectic Field Theory

    Författare :Cecilia Karlsson; Tobias Ekholm; Vincent Colin; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Contact manifolds; Legendrian submanifolds; Lagrangian immersions; Legendrian contact homology; Morse flow trees; Determinant line bundles; Orientation of moduli spaces; Exact Lagrangian cobordisms; Mathematics; Matematik;

    Sammanfattning : This thesis consists of three scientific papers dealing with invariants of Legendrian and Lagrangian submanifolds. Besides the scientific papers, the thesis contains an introduction to contact and symplectic geometry, and a brief outline of Symplectic field theory with focus on Legendrian contact homology. LÄS MER

  5. 9. Small energy isotopies of loose Legendrian submanifolds

    Författare :Lukas Nakamura; Tobias Ekholm; Álvaro del Pino Gómez; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; contact geometry; Legendrian submanifolds; Chekanov-Shelukhin-Hofer energy; Mathematics; Matematik;

    Sammanfattning : In the first paper, we prove that for a closed Legendrian submanifold L of dimension n>2 with a loose chart of size η, any Legendrian isotopy starting at L can be C0-approximated by a Legendrian isotopy with energy arbitrarily close to η/2. This in particular implies that the displacement energy of loose displaceable Legendrians is bounded by half the size of its smallest loose chart, which proves a conjecture of Dimitroglou Rizell and Sullivan. LÄS MER

  7. 10. 7D supersymmetric Yang-Mills theory on toric and hypertoric manifolds

    Författare :Andreas Rocén; Tobias Ekholm; Andrew Swann; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Yang-Mills theory; supersymmetry; toric geometry; hypertoric geometry; Sasaki-Einstein; 3-Sasaki; localisation; special functions; Mathematics; Matematik;

    Sammanfattning : This thesis consists of an introduction and three research papers in the general area of geometry and physics. In particular we study 7D supersymmetric Yang-Mills theory and related topics in toric and hypertoric geometry. Yang-Mills theory is used to describe particle interactions in physics but it also plays an important role in mathematics. LÄS MER