The Relation of Cobordism to K-theoriesSpringer-Verlag, 1966 - 110 pages |
From inside the book
Results 1-3 of 9
Page 46
... fiber HP ( m 1 ) . * An inclusion s4m - 1 CS ( § ) , where s4m - 1 is a fiber of S ( 5 ) , induces an inclusion i : HP ( m1 ) C HP ( § ) . It is then seen that h ( HP ( m - 1 ) ) is a free h - module with basis 1 , 1 * p , ••• , 1 * pm ...
... fiber HP ( m 1 ) . * An inclusion s4m - 1 CS ( § ) , where s4m - 1 is a fiber of S ( 5 ) , induces an inclusion i : HP ( m1 ) C HP ( § ) . It is then seen that h ( HP ( m - 1 ) ) is a free h - module with basis 1 , 1 * p , ••• , 1 * pm ...
Page 48
... fiber CP ( n 8 . - 1 ) . Characteristic classes in cobordism . In this section we set up central tools for this chapter . Recall that in section 5 we have considered the cohomology theories Ω Sp ( • ) ( • ) → ( 2 * Ω SU ( • ) ། → U 12 ...
... fiber CP ( n 8 . - 1 ) . Characteristic classes in cobordism . In this section we set up central tools for this chapter . Recall that in section 5 we have considered the cohomology theories Ω Sp ( • ) ( • ) → ( 2 * Ω SU ( • ) ། → U 12 ...
Page
... Fiber Spaces . VI , 45 pages . 1966. DM 4,80 Vol . 14 : H. Werner , Vorlesung über Approximations- theorie . IV , 184 Seiten und 12 Seiten Anhang . 1966. DM 14 , - Vol . 15 : F. Oort , Commutative Group Schemes . VI , 133 pages . 1966 ...
... Fiber Spaces . VI , 45 pages . 1966. DM 4,80 Vol . 14 : H. Werner , Vorlesung über Approximations- theorie . IV , 184 Seiten und 12 Seiten Anhang . 1966. DM 14 , - Vol . 15 : F. Oort , Commutative Group Schemes . VI , 133 pages . 1966 ...
Contents
The Thom Isomorphism in Ktheory | 1 |
Cobordism Characteristic Classes | 38 |
UManifolds with Framed Boundaries | 69 |
Copyright | |
1 other sections not shown
Other editions - View all
Common terms and phrases
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