The Relation of Cobordism to K-TheoriesSpringer, 2006 M11 14 - 116 pages |
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... from Springer Verlag . © by Springer - Verlag Berlin Heidelberg 1966 . Library of Congress Catalog Card Number 66-30143 . Printed in Germany . Title No. 7348 . INTRODUCTION These lectures treat certain topics relating K - theory.
... from Springer Verlag . © by Springer - Verlag Berlin Heidelberg 1966 . Library of Congress Catalog Card Number 66-30143 . Printed in Germany . Title No. 7348 . INTRODUCTION These lectures treat certain topics relating K - theory.
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... K - theory . The families U , SU , Sp of unitary , special unitary , symplectic groups generate spectra MU , MSU , MSp of Thom spaces . In the fashion of G. W. Whitehead [ 26 ] , each spectrum generates a generalized cohomology theory ...
... K - theory . The families U , SU , Sp of unitary , special unitary , symplectic groups generate spectra MU , MSU , MSp of Thom spaces . In the fashion of G. W. Whitehead [ 26 ] , each spectrum generates a generalized cohomology theory ...
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... completely ; this is because of our ignorance . However the recent work of Anderson- Brown - Peterson is a notable example of the application of K - theory to cobordism . CONTENTS Chapter I. The Thom Isomorphism in K - theory.
... completely ; this is because of our ignorance . However the recent work of Anderson- Brown - Peterson is a notable example of the application of K - theory to cobordism . CONTENTS Chapter I. The Thom Isomorphism in K - theory.
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... theory . 1. Exterior Algebra ... 2. Tensor products of exterior algebras 3. Application to bundles 4. Thom classes of line bundles 5. Cobordism and homomorphisms into K - theory 6. The homomorphism μc Chapter II . Cobordism ...
... theory . 1. Exterior Algebra ... 2. Tensor products of exterior algebras 3. Application to bundles 4. Thom classes of line bundles 5. Cobordism and homomorphisms into K - theory 6. The homomorphism μc Chapter II . Cobordism ...
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P. E. Conner, E. E. Floyd. CHAPTER I. THE THOM ISOMORPHISM IN K - THEORY . Given a U ( n ) -bundle structed an element over a finite CW complex X there is con- ( 3 ) ɛ K ( M ( ) ) where M ( ) is the Thom space of § ; we call J ( 5 ) the ...
P. E. Conner, E. E. Floyd. CHAPTER I. THE THOM ISOMORPHISM IN K - THEORY . Given a U ( n ) -bundle structed an element over a finite CW complex X there is con- ( 3 ) ɛ K ( M ( ) ) where M ( ) is the Thom space of § ; we call J ( 5 ) the ...
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abelian group algebra base point bordism bordism classes BSp(n bundle map c₁ ch+k characteristic classes Chern classes Chern numbers closed U-manifold cobordism coefficient groups cohomology theory complex inner product complex vector space consider COROLLARY CP(n CW pair X,A define denote diagram dimension Dold element epimorphism ɛ K(M finite CW complex finite CW pair framed manifold Hence Hirzebruch homotopy class Hopf HP(n identified induced inner product space integer K-theory kernel KSP(X LEMMA line bundle M²n map f module monomial MSU 4k MU(k multiplicative cohomology theory n+2k ñ¹(x P₁ partition polynomial Proof quaternionic quaternionic vector space Similarly stable tangent bundle stably framed manifold SU(n Suppose theorem Thom class Thom space Todd genus trivial U-structure U(n)-bundle unitary vector space bundle Z-graded εΩ Ωυ हु