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The Poisson Linearization Problem for $\mathfrak{sl}_2(\mathbb{C})$
 
Ioan Mărcuţ Universität zu Köln, Köln, Germany
Florian Zeiser Institute for Basic Science—Center for Geometry and Physics, Pohang, South Korea
Softcover ISBN:  978-1-4704-7963-3
Product Code:  MEMO/317/1610
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8582-5
Product Code:  MEMO/317/1610.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7963-3
eBook: ISBN:  978-1-4704-8582-5
Product Code:  MEMO/317/1610.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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The Poisson Linearization Problem for $\mathfrak{sl}_2(\mathbb{C})$
Ioan Mărcuţ Universität zu Köln, Köln, Germany
Florian Zeiser Institute for Basic Science—Center for Geometry and Physics, Pohang, South Korea
Softcover ISBN:  978-1-4704-7963-3
Product Code:  MEMO/317/1610
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8582-5
Product Code:  MEMO/317/1610.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7963-3
eBook ISBN:  978-1-4704-8582-5
Product Code:  MEMO/317/1610.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3172026; 112 pp
    MSC: Primary 53

    View the abstract.

  • Table of Contents
     
     
    • 1. Poisson cohomology—Introduction
    • 1. The Poisson cohomology of $\mathfrak {sl}_2(\mathbb {C})$
    • 2. Flat foliated cohomology of $\mathfrak {sl}_2(\mathbb {C})$
    • 3. Homotopy operators for the foliated complex
    • 4. Flat Poisson cohomology of $\mathfrak {sl}_2(\mathbb {C})$
    • 2. The Nash-Moser method—Introduction
    • 5. A quantitative linearization theorem
    • 6. The sketch of the Nash-Moser algorithm
    • 7. Prerequisites
    • 8. The algorithm
    • 9. Proof of Theorem
    • A. Some decompositions of smooth functions on $\mathbb {C}$
    • B. Fréchet spaces of smooth functions
    • C. Smoothing operators for flat functions
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3172026; 112 pp
MSC: Primary 53

View the abstract.

  • 1. Poisson cohomology—Introduction
  • 1. The Poisson cohomology of $\mathfrak {sl}_2(\mathbb {C})$
  • 2. Flat foliated cohomology of $\mathfrak {sl}_2(\mathbb {C})$
  • 3. Homotopy operators for the foliated complex
  • 4. Flat Poisson cohomology of $\mathfrak {sl}_2(\mathbb {C})$
  • 2. The Nash-Moser method—Introduction
  • 5. A quantitative linearization theorem
  • 6. The sketch of the Nash-Moser algorithm
  • 7. Prerequisites
  • 8. The algorithm
  • 9. Proof of Theorem
  • A. Some decompositions of smooth functions on $\mathbb {C}$
  • B. Fréchet spaces of smooth functions
  • C. Smoothing operators for flat functions
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.