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Hamiltonian Lie Algebroids
 
Christian Blohmann Max Planck Institut für Mathematik, Bonn, Germany
Alan Weinstein Stanford University, Stanford, CA
Softcover ISBN:  978-1-4704-6909-2
Product Code:  MEMO/295/1474
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: April 23, 2024
eBook ISBN:  978-1-4704-7774-5
Product Code:  MEMO/295/1474.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6909-2
eBook: ISBN:  978-1-4704-7774-5
Product Code:  MEMO/295/1474.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: April 23, 2024
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Hamiltonian Lie Algebroids
Christian Blohmann Max Planck Institut für Mathematik, Bonn, Germany
Alan Weinstein Stanford University, Stanford, CA
Softcover ISBN:  978-1-4704-6909-2
Product Code:  MEMO/295/1474
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: April 23, 2024
eBook ISBN:  978-1-4704-7774-5
Product Code:  MEMO/295/1474.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6909-2
eBook ISBN:  978-1-4704-7774-5
Product Code:  MEMO/295/1474.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: April 23, 2024
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2952024; 91 pp
    MSC: Primary 53; 37; 55

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Anchored vector bundles over presymplectic manifolds
    • 3. Compatibility via connections
    • 4. Momentum sections for presymplectically anchored Lie algebroids
    • 5. The zero momentum locus of a hamiltonian Lie algebroid
    • 6. Examples
    • 7. The category of hamiltonian Lie algebroids
    • 8. Reduction of action Lie groupoids and algebroids
    • 9. Hamiltonian structures on the reduced Lie algebroid
    • 10. Cohomological interpretation of hamiltonian Lie algebroids
    • 11. Open questions, conjectures, outlook
    • 12. Related work
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2952024; 91 pp
MSC: Primary 53; 37; 55

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Anchored vector bundles over presymplectic manifolds
  • 3. Compatibility via connections
  • 4. Momentum sections for presymplectically anchored Lie algebroids
  • 5. The zero momentum locus of a hamiltonian Lie algebroid
  • 6. Examples
  • 7. The category of hamiltonian Lie algebroids
  • 8. Reduction of action Lie groupoids and algebroids
  • 9. Hamiltonian structures on the reduced Lie algebroid
  • 10. Cohomological interpretation of hamiltonian Lie algebroids
  • 11. Open questions, conjectures, outlook
  • 12. Related work
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.