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1、NicoleBerlineEzraGetzlerMicheleVergneHeatKernelsandDiracOperatorsSpringerNicoleBerlineCentredeMathematiquesEcolePolytechniqueF-91128PalaiseauCedex,FranceEzraGetzlerMITCambridge,MA02139,USAMicheleVergneDMI,EcoleNormaleSup6rieure45,rued'UlmF-75005Paris,FranceCorre
2、ctedSecondPrinting1996MathematicsSubjectClassification(1991):58G10,58011,58A10,53C05LibraryofCongressCataloging-in-PublicationDataBerline,Nicole,1944-HeatkernelsandDiracoperators/NicoleBerline,EzraGetzler,MicheleVergne.p.cm.--(GrundlehrendermathematischenWissens
3、chaften298)"Secondcorrectedprinting1996"--T.p.verso.Includesbibliographicalreferencesandindex.ISBN0-387-53340-0(ai'k.paper)1.Heatequation.2.Diracequation.3.Indextheorems.4.Differentialforms.I.Getzler,Ezra.1962-.II.Vergne,Michele.III.Title.IV.Series.OA377.B491996
4、515'.353--dc2O95-51231CIPISBN3-540-53340-0Springer-VerlagBerlinHeidelbergNewYorkISBN0-387-53340-0Springer-VerlagNewYorkBerlinHeidelbergThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslat
5、ion,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpe
6、rmissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.ilSpringer-VerlagBerlinHeidelberg1992PrintedinGermanyTypesetting:BytheauthorsinAMS-LATEXSPIN1047672441/3143-543210Printedonacid-freepaperContentsInt
7、roduction1Acknowledgements...........................................13Chapter1.BackgroundonDifferentialGeometry141.1.FibreBundlesandConnections............................141.2.RiemannianManifolds...................................321.3.Superspaces.............
8、...............................381.4.Superconnections........................................431.5.CharacteristicClasses....................................461.6.TheE
