Periodic Hamiltonian Flows on Four Dimensional Manifolds.
Karshon, Yael.
Periodic Hamiltonian Flows on Four Dimensional Manifolds. - 1st ed. - 1 online resource (87 pages) - Memoirs of the American Mathematical Society ; v.141 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 1. Introduction -- 2. Graphs -- 2.1. The graph -- 2.2. Kähler toric varieties -- 2.3. Push-forward measures -- 3. Metrics -- 3.1. Gradient spheres -- 3.2. Dependence on the metric -- 4. Uniqueness: Graph determines space -- 4.1. Building an equivariant diffeomorphism that respects the moment maps -- 4.2. Building an isomorphism -- 5. Isolated fixed points implies toric variety -- 6. Blowing-up -- 6.1. Equivariant symplectic blow-ups and blow-downs -- 6.2. Blowing down to a minimal space -- 6.3. Minimal spaces -- 7. Completing the classification -- our spaces are Kähler -- 7.1. Algorithm -- Appendix A. Local normal forms -- Appendix B. Diffeomorphisms of the two-sphere -- Appendix C. Computing a Kähler cone -- References.
9781470402631
Flows (Differentiable dynamical systems).
Hamiltonian systems.
Four-manifolds (Topology).
Electronic books.
QA614.82 -- .K37 1999eb
510 s;514/.74
Periodic Hamiltonian Flows on Four Dimensional Manifolds. - 1st ed. - 1 online resource (87 pages) - Memoirs of the American Mathematical Society ; v.141 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 1. Introduction -- 2. Graphs -- 2.1. The graph -- 2.2. Kähler toric varieties -- 2.3. Push-forward measures -- 3. Metrics -- 3.1. Gradient spheres -- 3.2. Dependence on the metric -- 4. Uniqueness: Graph determines space -- 4.1. Building an equivariant diffeomorphism that respects the moment maps -- 4.2. Building an isomorphism -- 5. Isolated fixed points implies toric variety -- 6. Blowing-up -- 6.1. Equivariant symplectic blow-ups and blow-downs -- 6.2. Blowing down to a minimal space -- 6.3. Minimal spaces -- 7. Completing the classification -- our spaces are Kähler -- 7.1. Algorithm -- Appendix A. Local normal forms -- Appendix B. Diffeomorphisms of the two-sphere -- Appendix C. Computing a Kähler cone -- References.
9781470402631
Flows (Differentiable dynamical systems).
Hamiltonian systems.
Four-manifolds (Topology).
Electronic books.
QA614.82 -- .K37 1999eb
510 s;514/.74