<電子ブック>
Topological Invariants of Stratified Spaces / by Markus Banagl
(Springer Monographs in Mathematics. ISSN:21969922)
版 | 1st ed. 2007. |
---|---|
出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2007 |
本文言語 | 英語 |
大きさ | XII, 264 p. 14 illus : online resource |
著者標目 | *Banagl, Markus author SpringerLink (Online service) |
件 名 | LCSH:Topology LCSH:Geometry, Differential LCSH:Algebraic topology FREE:Topology FREE:Differential Geometry FREE:Algebraic Topology |
一般注記 | Elementary Sheaf Theory -- Homological Algebra -- Verdier Duality -- Intersection Homology -- Characteristic Classes and Smooth Manifolds -- Invariants of Witt Spaces -- T-Structures -- Methods of Computation -- Invariants of Non-Witt Spaces -- L2 Cohomology The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. After carefully introducing sheaf theory, derived categories, Verdier duality, stratification theories, intersection homology, t-structures and perverse sheaves, the ultimate objective is to explain the construction as well as algebraic and geometric properties of invariants such as the signature and characteristic classes effectuated by self-dual sheaves. Highlights never before presented in book form include complete and very detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classes and an introduction to the author's theory of non-Witt spaces and Lagrangian structures HTTP:URL=https://doi.org/10.1007/3-540-38587-8 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783540385875 |
|
電子リソース |
|
EB00234531 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA611-614.97 DC23:514 |
書誌ID | 4000114994 |
ISBN | 9783540385875 |
類似資料
この資料の利用統計
このページへのアクセス回数:4回
※2017年9月4日以降