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Showing 1 to 5 of 5 for “"Chern classes"”.

  1. GKM manifolds with low Betti numbers

    … in particular the equivariant cohomology and Chern classes. We are interested in the case where the torus action is Hamiltonian. In this thesis we will consider the case where the GKM graphs are complete. When the dimension of the torus action is sufficiently large, we can completely classify …

    uiuc Repository record for GKM manifolds with low Betti numbers (opens in a new tab)

  2. Semi-Free Hamiltonian Circle Actions on Six-Dimensional Symplectic Manifolds

    … equivariant cohomology ring and equivariant Chern classes. We classify some of these manifolds up to diffeomorphism. We also show the existence of most of these manifolds.

    uiuc Repository record for Semi-Free Hamiltonian Circle Actions on Six-Dimensional Symplectic Manifolds (opens in a new tab)

  3. Towards characterizing morphims between high dimensional hypersurfaces

    … between hypersurfaces is an inequality of Chern classes analogous to the Hurwitz-inequality. Paper 2 is a long example. We check that every morphism from a quintic hypersurface in I4 to a nonsingular cubic hypersurface in P4 is constant. In the process, we classify morphisms froin the …

    mit Repository record for Towards characterizing morphims between high dimensional hypersurfaces (opens in a new tab)

  4. Symplectic toric stratified spaces with isolated singularities

    … moment map by showing that their isomorphism classes are in bijective correspondence with the first Chern classes of principal G-bundles over W. This generalizes Lerman’s classification of compact connected contact toric manifolds. Symplectic toric stratified spaces with isolated singularities …

    uiuc Repository record for Symplectic toric stratified spaces with isolated singularities (opens in a new tab)

  5. Discretization of differential geometry for computational gauge theory

    This Dissertation was approved for publication on 2018-04-13 at 12:05.

    uiuc Repository record for Discretization of differential geometry for computational gauge theory (opens in a new tab)