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Exponential Decay Estimates and Smoothness of the Moduli Space of Pseudoholomorphic Curves
 
Kenji Fukaya State University of New York, Stony Brook, New York
Yong-Geun Oh Institute for Basic Sciences, Pohang, Korea and POSTECH, Pohang, Korea
Hiroshi Ohta Nagoya University, Nagoya, Japan
Kaoru Ono Kyoto University, Kyoto, Japan
Softcover ISBN:  978-1-4704-7106-4
Product Code:  MEMO/299/1500
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7878-0
Product Code:  MEMO/299/1500.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7106-4
eBook: ISBN:  978-1-4704-7878-0
Product Code:  MEMO/299/1500.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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Exponential Decay Estimates and Smoothness of the Moduli Space of Pseudoholomorphic Curves
Kenji Fukaya State University of New York, Stony Brook, New York
Yong-Geun Oh Institute for Basic Sciences, Pohang, Korea and POSTECH, Pohang, Korea
Hiroshi Ohta Nagoya University, Nagoya, Japan
Kaoru Ono Kyoto University, Kyoto, Japan
Softcover ISBN:  978-1-4704-7106-4
Product Code:  MEMO/299/1500
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7878-0
Product Code:  MEMO/299/1500.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7106-4
eBook ISBN:  978-1-4704-7878-0
Product Code:  MEMO/299/1500.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: 2992024; 140 pp
    MSC: Primary 53; 58; 35

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminaries
    • 3. Statement of the gluing theorem
    • 4. Proof of the gluing theorem I: Cut-off functions and weighted Sobolev norm
    • 5. Proof of the gluing theorem II: Gluing by alternating method
    • 6. Exponential decay of $T$ derivatives
    • 7. Surjectivity and injectivity of the gluing map
    • 8. Exponential decay estimate implies smoothness of coordinate change
    • A. Error term estimate of non-linear Cauchy-Riemann equation I
    • B. Estimate of Parallel transport 1
    • C. Error term estimate of non-linear Cauchy-Riemann equation II
    • D. Estimate of Parallel transport 2
    • E. Estimate of the non-linearity of Exponential map
    • F. Estimate of Parallel transport 3
    • G. Estimate of $T$ derivative of the error term of non-linear Cauchy-Riemann equation
    • H. Proof of Lemma
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2992024; 140 pp
MSC: Primary 53; 58; 35

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Preliminaries
  • 3. Statement of the gluing theorem
  • 4. Proof of the gluing theorem I: Cut-off functions and weighted Sobolev norm
  • 5. Proof of the gluing theorem II: Gluing by alternating method
  • 6. Exponential decay of $T$ derivatives
  • 7. Surjectivity and injectivity of the gluing map
  • 8. Exponential decay estimate implies smoothness of coordinate change
  • A. Error term estimate of non-linear Cauchy-Riemann equation I
  • B. Estimate of Parallel transport 1
  • C. Error term estimate of non-linear Cauchy-Riemann equation II
  • D. Estimate of Parallel transport 2
  • E. Estimate of the non-linearity of Exponential map
  • F. Estimate of Parallel transport 3
  • G. Estimate of $T$ derivative of the error term of non-linear Cauchy-Riemann equation
  • H. Proof of Lemma
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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