The Relation of Cobordism to K-theoriesSpringer-Verlag, 1966 - 110 pages |
From inside the book
Results 1-3 of 33
Page 69
... manifold . Such a manifold M has a complex structure on its stable tangent bundle together with a compatible framing of the restriction OM to the boundary . Such manifolds have Chern classes and Chern numbers , hence also a Todd genus ...
... manifold . Such a manifold M has a complex structure on its stable tangent bundle together with a compatible framing of the restriction OM to the boundary . Such manifolds have Chern classes and Chern numbers , hence also a Todd genus ...
Page 72
... 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 ... manifolds is U also a U - manifold and nΣ is a 72.
... 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 ... manifolds is U also a U - manifold and nΣ is a 72.
Page 93
... manifold wn + 1 with with own + 1 = M " . The point of the remainder of this chapter is to consider such pairs ( wh + 1 , мn ) . A ( U , fr ) -manifold is a triple ( M2 , § , e ) consisting of a diffe- rentiable manifold M , a U ...
... manifold wn + 1 with with own + 1 = M " . The point of the remainder of this chapter is to consider such pairs ( wh + 1 , мn ) . A ( U , fr ) -manifold is a triple ( M2 , § , e ) consisting of a diffe- rentiable manifold M , a U ...
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