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1、NicoleBerlineEzraGetzlerMicheleVergneHeatKernelsandDiracOperatorsSpringerNicoleBerlineCentredeMathematiquesEcolePolytechniqueF-91128PalaiseauCedex,FranceEzraGetzlerMITCambridge,MA02139,USAMicheleVergneDMI,EcoleNormaleSup6rieure45,rued'UlmF-75005Paris,FranceCorrectedSecondPrinting1996M
2、athematicsSubjectClassification(1991):58G10,58011,58A10,53C05LibraryofCongressCataloging-in-PublicationDataBerline,Nicole,1944-HeatkernelsandDiracoperators/NicoleBerline,EzraGetzler,MicheleVergne.p.cm.--(GrundlehrendermathematischenWissenschaften298)"Secondcorrectedprinting1996"--T.p.
3、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.B491996515'.353--dc2O95-51231CIPISBN3-540-53340-0Springer-VerlagBerlinHeidel
4、bergNewYorkISBN0-387-53340-0Springer-VerlagNewYorkBerlinHeidelbergThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyot
5、herway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.i
6、lSpringer-VerlagBerlinHeidelberg1992PrintedinGermanyTypesetting:BytheauthorsinAMS-LATEXSPIN1047672441/3143-543210Printedonacid-freepaperContentsIntroduction1Acknowledgements...........................................13Chapter1.BackgroundonDifferentialGeometry141.1.FibreBundlesandConne
7、ctions............................141.2.RiemannianManifolds...................................321.3.Superspaces............................................381.4.Superconnections........................................431.5.CharacteristicClasses....................................461.6
8、.TheE
