Overview

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

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Author:   Kenji Fukaya ,  Yong-Geun Oh ,  Hiroshi Ohta ,  Kaoru Ono
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Vol: 299 No: 1500
ISBN:  

9781470471064

ISBN 10:   147047106
Pages:   140
Publication Date:   30 September 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

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

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Author Information

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, Japan, and Kaoru Ono, Kyoto University, Japan.

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