Periodic Hamiltonian Flows on Four Dimensional Manifolds

American Mathematical Society (Autor)

Buch | Softcover

71 Seiten

1999
American Mathematical Society (Verlag)
978-0-8218-1181-8 (ISBN)

Infos

Classifies the periodic Hamiltonian flows on compact 4 dimensional symplectic manifolds up to isomorphism of Hamiltonian $S^1$-spaces. This title shows that these spaces are Kahler, that every such space is obtained from a simple model by a sequence of symplectic blowups, and that if the fixed points are isolated then the space is a toric variety.

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Abstract - we classify the periodic Hamiltonian flows on compact four dimensional symplectic manifolds up to isomorphism of Hamiltonian $S^1$-spaces. Additionally, we show that all these spaces are Kahler, that every such space is obtained from a simple model by a sequence of symplectic blowups, and that if the fixed points are isolated then the space is a toric variety.

Inhalt

Introduction Graphs Metrics Uniqueness: Graph determines space Isolated fixed points implies toric variety Blowing-up Completing the classification; our spaces are Kahler Appendices References.

Produkt-Details

• Erscheint lt. Verlag: 30.9.1999
• Reihe/Serie: Memoirs of the American Mathematical Society
• Verlagsort: Providence
• Sprache: englisch
• Gewicht: 198 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 0-8218-1181-9 / 0821811819
• ISBN-13: 978-0-8218-1181-8 / 9780821811818
• Zustand: Neuware