Springer.Cannas.Da.Silva.A.Lectures.On.Symplectic.Geometry.(Springer.2000)(226S)

Springer.Cannas.Da.Silva.A.Lectures.On.Symplectic.Geometry.(Springer.2000)(226S)

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页数:226页

时间:2019-03-12

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1、LecturesonSymplecticGeometryAnaCannasdaSilva11E-mail:acannas@math.ist.utl.ptoracannas@math.berkeley.eduForewordThesenotesapproximatelytranscribea15-weekcourseonsymplecticgeometryItaughtatUCBerkeleyintheFallof1997.ThecourseatBerkeleywasgreatlyinspiredincontentandstylebyVictorGuill

2、emin,whosemasterlyteachingofbeautifulcoursesontopicsrelatedtosymplecticgeometryatMIT,Iwasluckyenoughtoexperienceasagraduatestudent.Iamverythankfultohim!Thatcoursealsoborrowedfromthe1997ParkCitysummercoursesonsymplecticgeometryandtopology,andfrommanytalksanddiscussionsofthesymplec

3、ticgeometrygroupatMIT.AmongtheregularparticipantsintheMITinformalsymplecticseminar93-96,IwouldliketoacknowledgethecontributionsofAllenKnutson,ChrisWoodward,DavidMetzler,EckhardMeinrenken,ElisaPrato,EugeneLerman,JonathanWeitsman,LisaJe rey,ReyerSjamaar,ShaunMartin,StephanieSinger,

4、SueTolmanand,lastbutnotleast,YaelKarshon.ThankstoeveryonesittinginMath242intheFallof1997forallthecom-mentstheymade,andespeciallytothosewhowrotenotesonthebasisofwhichIwasbetterabletoreconstructwhatwenton:AlexandruScorpan,BenDavis,DavidMartinez,DonBarkauskas,EzraMiller,HenriqueBurs

5、ztyn,John-PeterLund,LauraDeMarco,OlgaRadko,PeterPribk,PieterCollins,SarahPack-man,StephenBigelow,SusanHarrington,TolgaEtgu•andYiMa.IamindebtedtoChrisTuey,MegumiHaradaandSaulSchleimerwhoreadthe rstdraftofthesenotesandspottedmanymistakes,andtoFernandoLouro,GrishaMikhalkinand,pa

6、rticularly,Jo~aoBaptistawhosuggestedseveralimprovementsandcarefulcorrections.OfcourseIamfullyresponsiblefortheremainingerrorsandimprecisions.TheinterestofAlanWeinstein,AllenKnutson,ChrisWoodward,EugeneLerman,Jiang-HuaLu,KaiCieliebak,RahulPandharipande,ViktorGinzburgandYaelKarshon

7、wascrucialatthelaststagesofthepreparationofthismanuscript.Iamgratefultothem,andtoMicheleAudinforherinspiringtextsandlectures.Finally,manythankstoFayeYeagerandDebbieCraigwhotypedpagesofmessynotesintoneatLATEX,toJo~aoPalhotoMatosforhistechnicalsupport,andtoCatrionaByrne,InaLindema

8、nn,IngridM•arzandtherestoftheSpringer-Ve

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