Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"Torus Actions"”.
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Properties of Hamiltonian Torus Actions on Closed Symplectic Manifolds
… will study the properties of certain Hamiltonian torus actions on closed symplectic manifolds. First, we will consider counting Hamiltonian torus actions on closed, symplectic manifolds M with 2-dimensional second cohomology. In particular, all such manifolds are bundles with fiber and base equal …
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C*-actions on rational homogeneous varieties and the associated birational maps
… there exists a variety Z with a one-dimensional torus action such that the birational map is induced from two geometric quotients of Z. We proceed in the opposite direction: given a smooth projective variety X with a one-dimensional torus action, one can define a birational map associated to the …
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Odd dimensional symplectic manifolds by Zhenqi He.
… holds. In the second half, we discuss the group actions on odd dimensional symplectic manifolds. In particular, we study the Hamiltonian group actions. Finally we use the Local-Global-Principle to prove a convexity theorem for the Hamiltonian torus actions on odd dimensional symplectic manifolds.
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Toric mirror symmetry and GIT windows
… ""magic window"" for quasi-symmetric torus actions computes the category associated to the equivariant semistable skeleton upon stop removal, where the generating cotangent fibers are described by a generic shift of a lattice zonotope in the real character space of the torus. After …
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Toric Varieties Associated with Moduli Spaces
… Σg,n to obtain a Hamiltonian action of a compact torus (S1)3 g-3+n' on an open dense subset of the moduli space of certain gauge equivalence classes of flat SU(2)-connections on Σg,n. Jeffrey and Weitsman also provide a complete description of the moment polytopes for these torus actions, and we …
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Calibrations and minimal Lagrangian submanifolds
… threefold, which admits a Special Lagrangian torus fibration. We will also show how to construct Special Lagrangian fibrations on non-compact almost Calabi-Yau manifolds using torus actions and give numerous examples of such fibrations. 3) A Kahler-Einstein manifold M with non-zero scalar …
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Equivariant cohomology, homogeneous spaces and graphs
The focus of this thesis is manifolds with group actions, in particular symplectic manifolds with Hamiltonian torus actions. We investigate the relationship between the equivariant cohomology of the manifold M and the fixed point data of the torus action. We are interested in understanding the …
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GKM manifolds with low Betti numbers
A GKM manifold is a symplectic manifold with a torus action such that the fixed points are isolated and the isotropy weights at the fixed points are linearly independent. Each GKM manifold has a GKM graph which contains much of the topological information of the manifold, in particular the …