Surveys on Surgery Theory Volume 1.pdf

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1、SurveysonSurgeryTheory:Volume1PapersdedicatedtoC.T.C.WallSylvainCappell,AndrewRanicki,andJonathanRosenberg,EditorsPrincetonUniversityPressPrinceton,NewJersey1999ContentsTheEditorsPreface................viiTheEditorsC.T.C.Wall'scontributionstothetopologyofmanifolds........3C.T.C.Wall'spublicatio

2、nlist......17J.MilnorClassi¯cationof(n¡1)-connected2n-dimensionalmanifoldsandthediscoveryofexoticspheres....25S.NovikovSurgeryinthe1960's..........31W.BrowderDi®erentialtopologyofhigherdimensionalmanifolds........41T.LanceDi®erentiablestructuresonmanifolds...73E.BrownTheKervaireinvariantandsurg

3、erytheory.105M.KreckAguidetotheclassi¯cationofmanifolds..121J.KleinPoincar¶edualityspaces.........135M.DavisPoincar¶edualitygroups.........167J.DavisManifoldaspectsoftheNovikovConjecture.............195I.HambletonAguidetothecalculationofthesurgeryandL.Taylorobstructiongroupsfor¯nitegroups..225C

4、.StarkSurgerytheoryandin¯nitefundamentalgroups.........275E.PedersenContinuouslycontrolledsurgerytheory..307W.MioHomologymanifolds...........323J.LevineandK.OrrAsurveyofapplicationsofsurgerytoknotandlinktheory........345J.RoeSurgeryandC¤-algebras........365R.J.MilgramTheclassi¯cationofAlo®-Wall

5、achmanifoldsandtheirgeneralizations..379C.ThomasEllipticcohomology...........409vSurveysonSurgeryTheory:Volume1PapersdedicatedtoC.T.C.WallPrefaceSurgerytheoryisnowabout40yearsold.The60thbirthday(onDecember14,1996)ofC.T.C.Wall,oneoftheleadersofthefoundinggenerationofthesubject,ledustore°ectonthe

6、extraordinaryaccomplish-mentsofsurgerytheory,anditscurrentenormouslyvariedinteractionswithalgebra,analysis,andgeometry.Workersinmanyoftheseareashaveof-tenlamentedthelackofasinglesourcesurveyingsurgerytheoryanditsapplications.Indeed,noonepersoncouldwritesuchasurvey.Thereforeweattemptedtomakearou

7、ghdivisionoftheareasofcurrentinterest,andaskedavarietyofexpertstoreportonthem.Thisisthe¯rstoftwovolumeswhicharetheresultofthatcollectivee®ort.Wehopethattheyproveusefultotopologists,tootherinterestedresearchers,andtoadvancedstudent