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Periodic Hamiltonian Flows on Four Dimensional Manifolds
 
Yael Karshon Hebrew University of Jerusalem, Israel
Periodic Hamiltonian Flows on Four Dimensional Manifolds
eBook ISBN:  978-1-4704-0263-1
Product Code:  MEMO/141/672.E
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $28.80
Periodic Hamiltonian Flows on Four Dimensional Manifolds
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Periodic Hamiltonian Flows on Four Dimensional Manifolds
Yael Karshon Hebrew University of Jerusalem, Israel
eBook ISBN:  978-1-4704-0263-1
Product Code:  MEMO/141/672.E
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $28.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1411999; 71 pp
    MSC: Primary 58; 70; Secondary 53;

    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 Kähler, 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.

    Readership

    Graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Graphs
    • 3. Metrics
    • 4. Uniqueness: Graph determines space
    • 5. Isolated fixed points implies toric variety
    • 6. Blowing-up
    • 7. Completing the classification; our spaces are Kähler
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1411999; 71 pp
MSC: Primary 58; 70; Secondary 53;

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 Kähler, 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.

Readership

Graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.

  • Chapters
  • 1. Introduction
  • 2. Graphs
  • 3. Metrics
  • 4. Uniqueness: Graph determines space
  • 5. Isolated fixed points implies toric variety
  • 6. Blowing-up
  • 7. Completing the classification; our spaces are Kähler
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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