Expository Lecture s from th e CBM S Regional Conferenc e held a t th e Universit y o f California , Sant a Barbar a August 1-5, 1983 Research supporte d i n par t b y Nationa l Scienc e Foundatio n Gran t MC S 83-03890. 2000 Mathematics Subject Classification. Primar y 58-XX Secondary 53-XX , 57-XX , 81-XX. Library of Congres s Cataloging i n Publication Data Lawson, H. Blaine. The theor y o f gaug e fields i n four dimensions . (Regional conferenc e serie s in mathematics no. 58 ) Bibliography: p . 1. Four-manifolds (Topology ) 2 . Gauge field s (Physics ) I . Title. II . Series. OAl.R33no. 5 8 [QA613.2] 510s [530.1'43] 85-44 1 ISBN 0-8218-0708-0 (alk . paper ) Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them , are permitted t o mak e fai r us e of the material , suc h a s to cop y a chapter fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given. Republication, systemati c copying , or multiple reproduction of any material i n this publicatio n is permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Request s fo r suc h permission should be addressed to the Assistant to the Publisher, American Mathematica l Society , P. O. Bo x 6248 , Providence , Rhod e Islan d 02940-6248 . Request s ca n als o b e mad e b y e-mai l t o reprint-permissionOams.org. © Copyrigh t 1985 b y th e America n Mathematica l Society . The America n Mathematica l Societ y retain s al l right s except thos e grante d t o the Unite d State s Government . Printed i n the Unite d State s o f America . The pape r use d i n thi s boo k i s acid-free an d fall s within th e guideline s established t o ensur e permanenc e an d durability . Visit th e AM S hom e pag e a t URL : http://wvw.ams.org / 10 9 8 7 6 5 4 0 6 0 5 04 0 3 02 01
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