The Relation of Cobordism to K-theoriesSpringer-Verlag, 1966 - 110 pages |
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Page 51
... exists & Hence there exists & 4n + 4 ( s4n + 4 ) Sp ( ) is a generator of H4n + 4 ( s4n + 4 ) . that Ãk ( sk ) is a free ( * -module ã1 Sp Sp with μ ( ) a generator ( see [ 10 , p . 15 ] ) . Ꮓ . It follows easily from the above is a ...
... exists & Hence there exists & 4n + 4 ( s4n + 4 ) Sp ( ) is a generator of H4n + 4 ( s4n + 4 ) . that Ãk ( sk ) is a free ( * -module ã1 Sp Sp with μ ( ) a generator ( see [ 10 , p . 15 ] ) . Ꮓ . It follows easily from the above is a ...
Page 74
... exists a closed U - manifold M2n - s2 [ m2n ] with s . S n = p . k = 1. If 2n = 2p - 2 for p prime , there exists м2n M with U Moreover , 2 is the polynomial algebra 2n Z [ [ M2 ] , [ M2 ] , ... , [ m21 ] , ••• ] . We put this aside now ...
... exists a closed U - manifold M2n - s2 [ m2n ] with s . S n = p . k = 1. If 2n = 2p - 2 for p prime , there exists м2n M with U Moreover , 2 is the polynomial algebra 2n Z [ [ M2 ] , [ M2 ] , ... , [ m21 ] , ••• ] . We put this aside now ...
Page 100
... exists x ε X ( X ) with ch x = ^ 2n + r ^ 2n + 2k ' r rational . Then r mod 1 & Q / Z is a function only of and Adams defines ec ( a ) = r mod 1 ɛ Q / Z . We give a proof due to P. S. Landweber of the following theorem ; it replaces a ...
... exists x ε X ( X ) with ch x = ^ 2n + r ^ 2n + 2k ' r rational . Then r mod 1 & Q / Z is a function only of and Adams defines ec ( a ) = r mod 1 ɛ Q / Z . We give a proof due to P. S. Landweber of the following theorem ; it replaces a ...
Contents
The Thom Isomorphism in Ktheory | 1 |
Cobordism Characteristic Classes | 38 |
UManifolds with Framed Boundaries | 69 |
Copyright | |
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abelian group algebra base point bordism bordism classes bordism groups bundle map ch+k characteristic classes Chern classes Chern numbers closed U-manifold cobordism cohomology theory complex inner product complex vector space composition consider COROLLARY CP(n CW pair X,A define denote diagram dimension Dold epimorphism fiber finite CW complex finite CW pair fr)-manifold framed manifold Hence homotopy class Hopf HP(n identified induced inner product space integer K-theory kernel KSP(X LEMMA line bundle linear M²n map f Milnor monomial MSU 4k MU(k multiplicative cohomology theory n)-bundle ñ¹ 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 vector space bundle Z-graded εΩ Ωυ