Introductory lectures on fibre bundles and topology for physicists
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Introductory lectures on fibre bundles and topology for physicists

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Published by Editrice Compositori in Bologna .
Written in English

Subjects:

  • Topology.,
  • Fiber bundles (Mathematics)

Book details:

Edition Notes

Includes bibliographies.

StatementG.H. Thomas.
SeriesLa Rivista del nuovo cimento ;, v. 3, n. 4
Classifications
LC ClassificationsQC1 .R58 vol. 3, n. 4, QC20.7.T65 .R58 vol. 3, n. 4
The Physical Object
Pagination119 p. :
Number of Pages119
ID Numbers
Open LibraryOL3797927M
LC Control Number81101647

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I must say that this wonderful little book must be (and I recommend it as such) the first step for a physicist into the world of higher geometry (manifolds, differential forms, stokes theorem, curvature, etc), differential and algebraic topology where topics like Homotopy, Homology, Cohomology theories, the theory of Fiber bundles, characteristic classes and Morse theory Cited by: The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists. From the Back Cover This book surveys Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations.5/5(3). The Topology of Fibre Bundles. (PMS), Volume Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics — such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically.   It depends on your area of physics. I'd suggest the Dover introductory texts, as they give a broad overview of the field and don't assume a lot of math background. From there, it's probably dependent on your subfield. String theory uses a lot of a.

Idea. All of physics has two aspects: a local or even infinitesimal aspect, and a global aspect. Much of traditional lore deals just with the local and infinitesimal aspects – the perturbative aspects – and fiber bundles play little role there. But they are the all-important structure that govern the global – the non-perturbative – aspects. Bundles are the global structure of physical. Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics — such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. To better understand papers like this for example, which makes heavy use of fibre bundles and gauge connections to represent gauge fields, I am looking for a nice introduction to this topic.. The only thing I have read so far is the corresponding chapter 15 of Roger Penrose's "Road to Reality". I do not want to read a whole book, I am rather thinking about an appropriate . However, this is not the whole story, because the theory of fibre bundles has found a multitude of applications in physics beyond the Yang-Mills theory: First, they appear in geometrical theories of gravity, (frame bundles, spin connections). In fact a Dirac field cannot be coupled to gravity without the introduction of fibre bundles.

bundles (describing the classification theorem) [39], the book of Milnor and Stasheff on characteristic classes of vector bundles [31], the texts of Whitehead [42] and Mosher and Tangora [32] for the results in homotopy theory. When good references are available we may not include the details of all the Size: KB. Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds . The book is really good at getting the reader quick into the tools of topology and geometry which would normally take several textbooks to learn (or if you use one like Nakahara, you would need to plough through > pages)/5. Lectures On Fibre Bundles and Differential Geometry By J.L. Koszul Notes by S. Ramanan No part of this book may be reproduced in any form by print, microfilm or any other means without written permission from the Tata Insti-tute of Fundamental Research, Apollo Pier Road, Bombay-1 Tata Institute of Fundamental Research, Bombay File Size: KB.