The Relation of Cobordism to K-TheoriesSpringer, 2006 M11 14 - 116 pages |
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... isomorphism in 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 ...
... isomorphism in 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 ...
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... isomorphisms are generated by respectively . Various topics are treated along the way , in particular cobordism characteristic classes . There is the sphere spectrum , whose homology groups are the fr framed bordism groups Ω * ( • ) . Q ...
... isomorphisms are generated by respectively . Various topics are treated along the way , in particular cobordism characteristic classes . There is the sphere spectrum , whose homology groups are the fr framed bordism groups Ω * ( • ) . Q ...
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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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... Stong and Hattori 82 SU 17. The groups , 15. U - manifolds with stably framed boundaries 16. The bordism groups Ω U , fr 18. The image off in Ω * 91 96 .105 SU 108 Bibliography 111 CHAPTER I. THE THOM ISOMORPHISM IN K - THEORY .
... Stong and Hattori 82 SU 17. The groups , 15. U - manifolds with stably framed boundaries 16. The bordism groups Ω U , fr 18. The image off in Ω * 91 96 .105 SU 108 Bibliography 111 CHAPTER I. THE THOM ISOMORPHISM IN K - THEORY .
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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 ... Isomorphism in K-theory Exterior Algebra.
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 ... Isomorphism in K-theory Exterior Algebra.
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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