Fibre Bundles
暫譯: 纖維束

Husemöller, Dale

  • 出版商: Springer
  • 出版日期: 1993-12-09
  • 售價: $3,480
  • 貴賓價: 9.5$3,306
  • 語言: 英文
  • 頁數: 356
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0387940871
  • ISBN-13: 9780387940878
  • 相關分類: 數學
  • 海外代購書籍(需單獨結帳)

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商品描述

Fibre bundles play an important role in just about every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. In this third edition two new chapters on the gauge group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds have been added. These chapters result from the important role of the gauge group in mathematical physics and the continual usefulness of characteristic classes defined with connections on vector bundles.

商品描述(中文翻譯)

纖維束在現代幾何學和拓撲學的各個方面都扮演著重要角色。纖維束的基本性質、同倫分類和特徵類已成為幾何學和數學物理學研究生教育的重要組成部分。在這第三版中,新增了兩個章節,分別關於纖維束的規範群和在流形上表示複向量束特徵類的微分形式。這些章節源於規範群在數學物理中的重要角色,以及在向量束上定義的連接所定義的特徵類的持續實用性。