The Relation of Cobordism to K-theoriesSpringer-Verlag, 1966 - 110 pages |
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Page 69
... closed U - manifolds of dimension n ; the elements n are the bordism classes ... manifold a ( U , fr ) -manifold . Such a manifold M has a complex structure on its stable tangent bundle together with a ... U-Manifolds with Framed Boundaries.
... closed U - manifolds of dimension n ; the elements n are the bordism classes ... manifold a ( U , fr ) -manifold . Such a manifold M has a complex structure on its stable tangent bundle together with a ... U-Manifolds with Framed Boundaries.
Page 72
... closed U - manifold Men with Cil [ M2n ] = a P 2111p for each { 11 } ? U n It is convenient to have at hand the U - bordism groups . We shall not give complete definitions ( see [ 12 ] ) but simply a quick sketch . It is possible to ...
... closed U - manifold Men with Cil [ M2n ] = a P 2111p for each { 11 } ? U n It is convenient to have at hand the U - bordism groups . We shall not give complete definitions ( see [ 12 ] ) but simply a quick sketch . It is possible to ...
Page 93
Pierre E. Conner, E. E. Floyd. ì is a U - manifold and [ M ] = 0 in 20. Hence there exists a compact U - manifold wn + 1 with with own + 1 = M " . The point of the remainder of this chapter ... closed U - manifold N having the same Chern 93.
Pierre E. Conner, E. E. Floyd. ì is a U - manifold and [ M ] = 0 in 20. Hence there exists a compact U - manifold wn + 1 with with own + 1 = M " . The point of the remainder of this chapter ... closed U - manifold N having the same Chern 93.
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