The Relation of Cobordism to K-TheoriesSpringer, 2006 M11 14 - 116 pages |
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... homomorphism shown that For example , generates a с * * → Z and makes Z into a module . It is U U * Kˆ ( X , A ) ≈ Qˆ ( X , A ) ® U N * ( x , ^ ) ®N * Z U as Z2 - graded modules . Similarly symplectic cobordism determines * KO ̊ ...
... homomorphism shown that For example , generates a с * * → Z and makes Z into a module . It is U U * Kˆ ( X , A ) ≈ Qˆ ( X , A ) ® U N * ( x , ^ ) ®N * Z U as Z2 - graded modules . Similarly symplectic cobordism determines * KO ̊ ...
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... homomorphism Td fr FU Ω 2n - 1 → Q / Z . This turns out to coincide with a well - known homomorphism of Adams , : 0 fr 2n - 1 → Q / 2 . We are thus able to give a cobordism interpretation of the results of Adams [ 13 ] on e , ec • It ...
... homomorphism Td fr FU Ω 2n - 1 → Q / Z . This turns out to coincide with a well - known homomorphism of Adams , : 0 fr 2n - 1 → Q / 2 . We are thus able to give a cobordism interpretation of the results of Adams [ 13 ] on e , ec • It ...
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... homomorphisms into K - theory 6. The homomorphism μc Chapter II . Cobordism Characteristic Classes 7. A theorem of Dold 8. Characteristic classes in cobordism 9. Characteristic classes in K - theory 10. A cobordism interpretation for K ...
... homomorphisms into K - theory 6. The homomorphism μc Chapter II . Cobordism Characteristic Classes 7. A theorem of Dold 8. Characteristic classes in cobordism 9. Characteristic classes in K - theory 10. A cobordism interpretation for K ...
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... homomorphisms → K ( • ) of cohomology theories , where Q * ( • ) →→ KO * ( • ) and ( ) * ( • ) SU Ω ( ... ) , ( * ( . ) denote the cohomology theories based on the spectra SU MSU , MU . 1 . U Exterior algebra We fix in this section a ...
... homomorphisms → K ( • ) of cohomology theories , where Q * ( • ) →→ KO * ( • ) and ( ) * ( • ) SU Ω ( ... ) , ( * ( . ) denote the cohomology theories based on the spectra SU MSU , MU . 1 . U Exterior algebra We fix in this section a ...
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... isomorphisms are taken to be real linear , while in cases 2 and 3 they are taken to be quaternionic linear . For each v 0 in V we also obtain isomorphisms od ev . 9 ̧ : ^ ° dv≈ 1 © 5 сл Cobordism and homomorphisms into K-theory.
... isomorphisms are taken to be real linear , while in cases 2 and 3 they are taken to be quaternionic linear . For each v 0 in V we also obtain isomorphisms od ev . 9 ̧ : ^ ° dv≈ 1 © 5 сл Cobordism and homomorphisms into K-theory.
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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