LEADER 06727nam 22016935 450 001 9910154746103321 005 20190708092533.0 010 $a1-4008-8204-4 024 7 $a10.1515/9781400882045 035 $a(CKB)3710000000628087 035 $a(MiAaPQ)EBC4738657 035 $a(DE-B1597)467936 035 $a(OCoLC)979882336 035 $a(DE-B1597)9781400882045 035 $a(EXLCZ)993710000000628087 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 00$aSeminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 /$fRichard S. Palais 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1966 215 $a1 online resource (379 pages) 225 0 $aAnnals of Mathematics Studies ;$v330 300 $a"Consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64." 311 $a0-691-08031-3 320 $aIncludes bibliographies. 327 $tFrontmatter -- $tCONTENTS -- $tPREFACE / $rPalais, Richard S. -- $tCHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF / $rBorel, A. -- $tCHAPTER II. REVIEW OF K-THEORY / $rSolovay, Robert -- $tCHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE / $rSolovay, Robert -- $tCHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES / $rPalais, Richard S. -- $tCHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS / $rSolovay, Robert M. -- $tCHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS / $rPalais, Richard S. -- $tCHAPTER VII. FREDHDIM OPERATORS / $rPalais, Richard S. -- $tCHAPTER VIII. CHAINS OP HILBERTIAN SPACES / $rPalais, Richard S. -- $tCHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE / $rPalais, Richard S. -- $tCHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE / $rPalais, Richard S. -- $tCHAPTER XI. THE SEELEY ALGEBRA / $rPalais, Richard S. -- $tCHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX / $rPalaie, Richard S. -- $tCHAPTER XIII. WHITNEY SUMS / $rPalais, Richard S. -- $tCHAPTER XIV. TENSOR PRODUCTS / $rPalais, Richard S. -- $tCHAPTER XV. DEFINITION OF ia AND it ON K(M) / $rSolovay, Robert M. -- $tCHAPTER XVI. CONSTRUCTION OF Intk / $rPalais, R. S. / Seeley, R. T. -- $tCHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX / $rPalais, R. S. / Seeley, R. T. -- $tCHAPTER XVIII. BORDISM GROUPS OF BUNDLES / $rFloyd, E. E. -- $tCHAPTER XIX. THE INDEX THEOREM: APPLICATIONS / $rSolovay, Robert M. -- $tAPPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY / $rAtiyah, M. F. -- $tAPPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS / $rShih, Weishu -- $tBackmatter 330 $aThe description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming. 410 0$aAnnals of mathematics studies ;$vno. 57. 606 $aAtiyah-Singer index theorem 606 $aDifferential topology 606 $aHomology theory 610 $aAddition. 610 $aAdjoint. 610 $aAlgebraic topology. 610 $aAlgebraic variety. 610 $aAlmost complex manifold. 610 $aArf invariant. 610 $aAsymptotic expansion. 610 $aAtiyah?Singer index theorem. 610 $aAutomorphism. 610 $aAxiom. 610 $aBanach space. 610 $aBig O notation. 610 $aBoundary value problem. 610 $aBounded operator. 610 $aCharacteristic class. 610 $aChern class. 610 $aCohomology. 610 $aCokernel. 610 $aCompact operator. 610 $aComplex vector bundle. 610 $aComputation. 610 $aConnected component (graph theory). 610 $aCoordinate system. 610 $aCorollary. 610 $aCotangent bundle. 610 $aDifferentiable function. 610 $aDifferentiable manifold. 610 $aDifferential operator. 610 $aDimension (vector space). 610 $aDimension. 610 $aDisjoint union. 610 $aDivision by zero. 610 $aElliptic operator. 610 $aElliptic partial differential equation. 610 $aEquivalence class. 610 $aEuclidean space. 610 $aEuler class. 610 $aExact sequence. 610 $aExistential quantification. 610 $aFiber bundle. 610 $aFormal power series. 610 $aFourier transform. 610 $aFredholm operator. 610 $aFunctional analysis. 610 $aGelfand. 610 $aGrothendieck group. 610 $aH-cobordism. 610 $aHilbert space. 610 $aHodge theory. 610 $aHomogeneous polynomial. 610 $aHomomorphism. 610 $aHomotopy. 610 $aIndeterminate (variable). 610 $aInjective function. 610 $aInteger. 610 $aIsomorphism class. 610 $aJet bundle. 610 $aK-theory. 610 $aL-theory. 610 $aLinear map. 610 $aManifold. 610 $aMichael Atiyah. 610 $aNatural transformation. 610 $aNormal bundle. 610 $aOrientability. 610 $aPairing. 610 $aPartial differential equation. 610 $aPolynomial ring. 610 $aPolynomial. 610 $aPrincipal bundle. 610 $aProjection (mathematics). 610 $aRiemann?Roch theorem. 610 $aRing (mathematics). 610 $aRobert M. Solovay. 610 $aSign convention. 610 $aSingular integral. 610 $aSobolev inequality. 610 $aSpanning tree. 610 $aSpecial case. 610 $aSubgroup. 610 $aSubmanifold. 610 $aSubring. 610 $aSuggestion. 610 $aSummation. 610 $aSurjective function. 610 $aSymmetric bilinear form. 610 $aSymmetric function. 610 $aTangent bundle. 610 $aTangent space. 610 $aTensor product. 610 $aTheorem. 610 $aTodd class. 610 $aTopological vector space. 610 $aUniqueness theorem. 610 $aVector bundle. 610 $aVector space. 615 0$aAtiyah-Singer index theorem. 615 0$aDifferential topology. 615 0$aHomology theory. 676 $a513.83 686 $aSK 350$2rvk 702 $aPalais$b Richard S., 712 02$aInstitute for Advanced Study (Princeton, N.J.), 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154746103321 996 $aSeminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57$92788524 997 $aUNINA