Geometry Topology and Physics [Nakahara].pdf

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EEn

Front Cover

Back Cover

Dedication

TOC

Preface to the First Edition

Preface to the Second Edition

How to Read this Book

Notation and Conventions

1 - Quantum Physics

2 - Mathematical Preliminaries

3 - Homology Groups

4 - Homotopy Groups

5 - Manifolds

6 - De Rham Cohomology Groups

7 - Riemannian Geometry

8 - Complex Manifolds

9 - Fibre Bundles

10 - Connections on Fibre Bundles

11 - Characteristic Classes

12 - Index Theorems

13 - Anomalies in Gauge Field Theories

14 - Bosonic String Theory

References

Index

GEOMETRY, TOPOLOGY AND PHYSICS

Graduate Student Series in Physics Other books in the series Gauge Theories in Particle Physics I J R AITCHISON and A J G HEY Introduction to Gauge Field Theory D BAILIN and A LOVE Supersymmetric Gauge Field Theory and String Theory D BAILIN and A LOVE Mechanics of Deformable Media A B BHATIA and R N SINGH Symmetries in Quantum Mechanics M CHAICHIAN and R HAGEDORN Hadron Interactions P D B COLLINS and A D MARTIN The Physics of Structurally Disordered Matter: An Introduction N E CUSACK Basic Ideas and Concepts in Nuclear Physics K HEYDE Collective Effects in Solids and Liquids N H MARCH and M PARRINELLO Supersymmetry, Superﬁelds and Supergravity: An Introduction P P SRIVASTAVA Superﬂuidity and Superconductivity D R TILLEY and J TILLEY

GRADUATE STUDENT SERIES IN PHYSICS Series Editor: Professor Douglas F Brewer, MA, DPhil Emeritus Professor of Experimental Physics, University of Sussex GEOMETRY, TOPOLOGY AND PHYSICS SECOND EDITION MIKIO NAKAHARA Department of Physics Kinki University, Osaka, Japan INSTITUTE OF PHYSICS PUBLISHING Bristol and Philadelphia

c IOP Publishing Ltd 2003 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the publisher. Multiple copying is permitted in accordance with the terms of licences issued by the Copyright Licensing Agency under the terms of its agreement with Universities UK (UUK). British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. ISBN 0 7503 0606 8 Library of Congress Cataloging-in-Publication Data are available Commissioning Editor: Tom Spicer Production Editor: Simon Laurenson Production Control: Sarah Plenty Cover Design: Victoria Le Billon Marketing: Nicola Newey and Verity Cooke Published by Institute of Physics Publishing, wholly owned by The Institute of Physics, London Institute of Physics Publishing, Dirac House, Temple Back, Bristol BS1 6BE, UK US Ofﬁce: Institute of Physics Publishing, The Public Ledger Building, Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106, USA Typeset in LATEX 2 by Text 2 Text, Torquay, Devon Printed in the UK by MPG Books Ltd, Bodmin, Cornwall

Dedicated to my family

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