Manifolds, Sheaves, and Cohomology

書誌事項

Manifolds, Sheaves, and Cohomology

Torsten Wedhorn

(Springer Studium Mathematik, Master)

Springer Spektrum, c2016

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注記

Includes bibliographical references (p. 341-342) and index

内容説明・目次

内容説明

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.

目次

Topological Preliminaries.- Algebraic Topological Preliminaries.- Sheaves.- Manifolds.- Local Theory of Manifolds.- Lie Groups.- Torsors and Non-abelian Cech Cohomology.- Bundles.- Soft Sheaves.- Cohomology of Complexes of Sheaves.- Cohomology of Sheaves of Locally Constant Functions.- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis.

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詳細情報

  • NII書誌ID(NCID)
    BB21843916
  • ISBN
    • 9783658106324
  • LCCN
    2016947452
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Wiesbaden
  • ページ数/冊数
    xvi, 354 p.
  • 大きさ
    24 cm
  • 分類
  • 親書誌ID
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