Periodic Hamiltonian flows on four dimensional manifolds

著者

• Karshon, Yael

書誌事項

Periodic Hamiltonian flows on four dimensional manifolds

Yael Karshon

（Memoirs of the American Mathematical Society, no. 672）

American Mathematical Society, 1999

注記

"September 1999, volume 141, number 672 (second of 4 numbers)" -- T.p

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

• NII書誌ID(NCID): BA43063323
• ISBN:
  • 0821811819
• LCCN: 99029338
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: viii, 71 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA3
  • LCC : QA614.82
  • DC21 : 510 s
  • DC21 : 514/.74
• 件名:
  • LCSH : Flows (Differentiable dynamical systems)
  • LCSH : Hamiltonian systems
  • LCSH : Four-manifolds (Topology)
• 親書誌ID:
  • BA00035927