Symplectic Manifolds with No Kahler Structure (Lecture Notes in Mathematics): 紀伊國屋書店BookWeb

※在庫の有無は、提携する海外取次店の在庫を表示しております。
※表示の価格はBookWeb会員向の価格であり、店頭での販売価格とは異なりますのでご注意下さい。

BookWeb価格：￥4,781 (税込)
外貨定価： US$ 46.00
円換算額： \4,347 (税込) ＋手数料： \434 (D)

提携先の海外書籍取次会社に在庫がございますので、お取り寄せ致します。通常9日～2週間で発送いたします。
（表示の納期は標準的な場合の目安であり、確約は致しかねます。ご了解の上ご注文下さいませ）
この商品は、国内送料無料でお届けします。

【ご注意事項】

タイミングによっては取次にて在庫切れとなり、出版社からお取り寄せとなって入荷が遅れる場合がございます。もしも出版社からも入手ができない場合には、勝手ながらご注文は解約させて頂きます。予めご了承下さいませ。
複数冊ご注文の場合、分れての入荷・発送となる場合がございます。

詳細

Source： ENG
Academic Descriptors： A51603000 A51702000
Publishers： Commercial
Place of Publication： Europe
Language of Publication： English
Edition： First
Physical Format： Paperbound
Continuations： Monograph Series,any number
Academic Level： Graduate

Book Data Full Description：: This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. Some stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture and the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (for example Thurston's conjecture and Sullivan's problem). The aim of this text is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. The reader is expected to be aware of the basics of differential geometry and algebraic topology at graduate level.
(Contents List)
The starting point - homotopy properties of Kaehler manifolds; nilmanifolds; solvmanifolds; the examples of McDuff; symplectic structures in total spaces of bundles; survey.

Baker&Taylor Table of Contents：

Introduction                                       VI
  Chapter 1.  The Starting Point: Homotopy         1  (44)
  Properties of Kahler Manifolds
    1.1  Differential Graded Algebras and          1  (7)
    Minimal Models
    1.2  DG A-Homotopy and Invariance of           8  (10)
    Minimal Models
    1.3  Formality and Kahler Manifolds            18 (9)
    1.4  Rational Homotopy of Fibrations           27 (6)
    1.5  An Illustrative Geometric Example         33 (7)
    1.6  Higher Order Massey Products              40 (5)
  Chapter 2.  Nilmanifolds                         45 (25)
    2.1  Nilmanifolds                              45 (9)
    2.2  The Benson-Gordon-Hasegawa Theorem        54 (4)
    2.3  Symplectic Structures on Nilmanifolds     58 (12)
    and Related Miscellany
  Chapter 3.  Solvmanifolds                        70 (50)
    3.1  Solvmanifolds and their Mostow Bundles    71 (6)
    3.2  Cohomology of Solvmanifolds: Hattori's    77 (10)
    Theorem
    3.3  Rational Models of Solvmanifolds with     87 (9)
    Kahler Structures
    3.4  The Benson-Gordon Conjecture              96 (4)
    3.5  Higher Dimensional Examples and           100(20)
    Twisted Tensor Products
  Chapter 4.  The Examples of McDuff               120(17)
    4.1  Classical Blow-Ups                        120(2)
    4.2  The Symplectic Blow-Up                    122(7)
    4.3  The Main Result                           129(5)
    4.4  Remarks                                   134(3)
  Chapter 5.  Symplectic Structures in Total       137(36)
  Spaces of Bundles
    5.1  Preliminaries on Homogeneous Spaces       137(4)
    5.2 Compact Homogeneous Symplectic Manifolds   141(5)
    5.3  The Weinstein Problem for Fiber Bundles   146(5)
    5.4  Koszul Complexes and Minimal Models of    151(10)
    Homogeneous Spaces
    5.5 Symplectic Fat Bundles and The             161(12)
    Formalizing Tendency of Symplectic
    Structures
  Chapter 6.  Survey                               173(27)
    6.1  Brylinski's Conjecture and                173(8)
    `Conjectural' Symplectic Invariants
    6.2  Applications to The Original Arnol'd      181(8)
    Conjecture
    6.3  Dolbeault Homotopy Theory                 189(4)
    6.4  Miscellaneous Examples                    193(5)
    6.5  Discussion of Problems and Conjectures    198(2)
References                                         200(6)
Index                                              206