The Relation of Cobordism to K-theoriesSpringer-Verlag, 1966 - 110 pages |
From inside the book
Results 1-3 of 89
Page
... Cobordism and homomorphisms into K - theory .25 6. The homomorphism c .30 Chapter II . Cobordism Characteristic Classes 7. A theorem of Dold 8. Characteristic classes in cobordism 9. Characteristic classes in K - theory 10. A cobordism ...
... Cobordism and homomorphisms into K - theory .25 6. The homomorphism c .30 Chapter II . Cobordism Characteristic Classes 7. A theorem of Dold 8. Characteristic classes in cobordism 9. Characteristic classes in K - theory 10. A cobordism ...
Page 48
... 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 ... cobordism theories 48 Characteristic classes in cobordism.
... 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 ... cobordism theories 48 Characteristic classes in cobordism.
Page 49
... cobordism theories . * The best understood of these is ( . ) . For example the coefficient ring ( * has ( -2n CNU the U U U cobordism group of closed weakly 2n complex manifolds of dimension 2n . * Hence Q is a polynomial ring U over ...
... cobordism theories . * The best understood of these is ( . ) . For example the coefficient ring ( * has ( -2n CNU the U U U cobordism group of closed weakly 2n complex manifolds of dimension 2n . * Hence Q is a polynomial ring U over ...
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