The Relation of Cobordism to K-TheoriesSpringer, 2006 M11 14 - 116 pages |
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... fr = π = πT12 ( MU / 8 ) = = π ᅲ ( MU ( k ) / s2k ) , n n + 2k n k large . The elements of ( U , fr n are interpreted as bordism classes [ M ] of compact ( U , fr ) -manifolds M , where roughly a ( U , fr ) -manifold is a differentiable ...
... fr = π = πT12 ( MU / 8 ) = = π ᅲ ( MU ( k ) / s2k ) , n n + 2k n k large . The elements of ( U , fr n are interpreted as bordism classes [ M ] of compact ( U , fr ) -manifolds M , where roughly a ( U , fr ) -manifold is a differentiable ...
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P. E. Conner, E. E. Floyd. Τα : Ω U , fr 2n Q , Q the rationals . 2n It is proved that given a compact ( U , fr ) -manifold M2 , there is a closed weakly almost complex manifold having the same Chern numbers 2n 2n as M if and only if Td ...
P. E. Conner, E. E. Floyd. Τα : Ω U , fr 2n Q , Q the rationals . 2n It is proved that given a compact ( U , fr ) -manifold M2 , there is a closed weakly almost complex manifold having the same Chern numbers 2n 2n as M if and only if Td ...
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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