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Showing 1 to 6 of 6 for “"Geometric topology"”.

  1. Aspects of symmetry, topology and anomalies in quantum matter

    … this thesis, we explore the aspects of symmetry, topology and anomalies in quantum matter with entanglement from both condensed matter and high energy theory viewpoints. The focus of our research is on the gapped many-body quantum systems including symmetry-protected topological states (SPTs) and …

    mit Repository record for Aspects of symmetry, topology and anomalies in quantum matter (opens in a new tab)

  2. Two mod-p Johnson filtrations

    We consider two mod-p central series of the free group given by Stallings and Zassenhaus. Applying these series to definitions of Dennis Johnson's filtration of the mapping class group we obtain two mod-p Johnson filtrations. Further, we adapt the definition of the Johnson homomorphisms to obtain …

    rice Repository record for Two mod-p Johnson filtrations (opens in a new tab)

  3. Stable isoperimetric ratios and hyperbolic geometry

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms

    uiuc Repository record for Stable isoperimetric ratios and hyperbolic geometry (opens in a new tab)

  4. The untwisting number of a knot

    The unknotting number of a knot is the minimum number of crossings one must change to turn that knot into the unknot. The algebraic unknotting number is the minimum number of crossing changes needed to transform a knot into an Alexander polynomial-one knot. We work with a generalization of …

    rice Repository record for The untwisting number of a knot (opens in a new tab)

  5. Combinatorial complexes associated to surfaces

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-09-01 without embargo terms

    uiuc Repository record for Combinatorial complexes associated to surfaces (opens in a new tab)

  6. Hitchin Functionals, h-Principles and Spectral Invariants

    … 3 then proceeds to interpret this unboundedness geometrically, demonstrating an unexpected link between the functional $\mathcal{H}_3$ and fibrations, proving that the 'large volume limit' of $\mathcal{H}_3$ in each case corresponds to the adiabatic limit of a suitable fibration. The proof …

    cambridge Repository record for Hitchin Functionals, h-Principles and Spectral Invariants (opens in a new tab)