The Relation of Cobordism to K-theoriesSpringer-Verlag, 1966 - 110 pages |
From inside the book
Results 1-3 of 24
Page 71
... structure . Thus every almost complex manifold and hence every complex analytic manifold also has a natural U - structure . A U - manifold ( M , ) is a pair consisting of a differentiable manifold м and a U - structure on M. Often we ...
... structure . Thus every almost complex manifold and hence every complex analytic manifold also has a natural U - structure . A U - manifold ( M , ) is a pair consisting of a differentiable manifold м and a U - structure on M. Often we ...
Page 72
... structure & on мn a " negative " complex structure - Φ . = . Thus given a U - manifold ( M ” , § ) on aмn . there is the U - manifold - ( M ” , Φ ( M , - ) . It is also possible to associate with each U - structure on м a U - structure ...
... structure & on мn a " negative " complex structure - Φ . = . Thus given a U - manifold ( M ” , § ) on aмn . there is the U - manifold - ( M ” , Φ ( M , - ) . It is also possible to associate with each U - structure on м a U - structure ...
Page 105
... structure induces a natural SU - structure on B1 of course . Note that the cross - section of Bn induces a principal U ( 1 ) -bundle over Bn , which along Bn already has a homotopy class of cross - sections ; thus , the first Chern ...
... structure induces a natural SU - structure on B1 of course . Note that the cross - section of Bn induces a principal U ( 1 ) -bundle over Bn , which along Bn already has a homotopy class of cross - sections ; thus , the first Chern ...
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