The Relation of Cobordism to K-theories |
From inside the book
Results 1-3 of 14
Page 53
It follows by induction on k that ko * ( sk ) is a free ko * -module with a basis consisting of one element u of kok ( sk ) , namely any element with ph 3 the image of a generator under ( sk ; z ) ▻ yk ( sk ; Q ) .
It follows by induction on k that ko * ( sk ) is a free ko * -module with a basis consisting of one element u of kok ( sk ) , namely any element with ph 3 the image of a generator under ( sk ; z ) ▻ yk ( sk ; Q ) .
Page 54
4 ( 7 ) Namely , Ko4 ( x ) = ko ( s4 - X ) and given y E K $ p ( x ) we let ( 1 - 5 3 ) Quy where 5 , is the Hopf Sp ( 1 ) -bundle over 84 . It follows from the above paragraph that ph O ( n ) = chy : ( 9.1 ) The ko * -module ko * ( HP ...
4 ( 7 ) Namely , Ko4 ( x ) = ko ( s4 - X ) and given y E K $ p ( x ) we let ( 1 - 5 3 ) Quy where 5 , is the Hopf Sp ( 1 ) -bundle over 84 . It follows from the above paragraph that ph O ( n ) = chy : ( 9.1 ) The ko * -module ko * ( HP ...
Page 78
... given as follows : namely in ( 1 - ero , ... ( 1 - ( n , ti ••• tn replace Et , by cz ( 3 ) , " ' , Et ; " " tk byc by ck ( 5 ) , • * . 13 . Characteristic numbers from K - theory . 2n Assume that we are given a compact U - manifold ...
... given as follows : namely in ( 1 - ero , ... ( 1 - ( n , ti ••• tn replace Et , by cz ( 3 ) , " ' , Et ; " " tk byc by ck ( 5 ) , • * . 13 . Characteristic numbers from K - theory . 2n Assume that we are given a compact U - manifold ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
CONTENTS 1 | 1 |
Tensor products of exterior algebras | 5 |
Application to bundles | 11 |
Copyright | |
16 other sections not shown
Other editions - View all
Common terms and phrases
abelian According acts Adams assigning associated base point basis bordism bordism classes BSp(n Chapter characteristic Chern classes Chern numbers classes closed U-manifold cobordism coefficient commutativity compact U,fr)-manifold complex vector space composition consider construction COROLLARY CP(n define definition denote diagram dimension element equivalence exact exists fact fiber finite CW complex follows function give given Hence holds homo topy homomorphism HP(n identified induced integer isomorphism K-theory KSP(X line bundle linear manifold Moreover MU(K Namely natural Note obtain particular partition polynomial Proof prove quaternionic represented respectively ring seen Similarly stable tangent bundle stably framed structure su(n sufficient Suppose theorem Thom Todd genus trivial U-structure U,fr U(n)-bundle unique universal vector space bundle
Bibliographic information
| Title | The Relation of Cobordism to K-theories Volume 28 of Lecture notes in mathematics, ISSN 0075-8434 Relation of Cobordism to K-theories, Pierre E. Conner |
| Authors | Pierre E. Conner, E. E. Floyd |
| Publisher | Springer-Verlag, 1966 |
| ISBN | 0387036105, 9780387036106 |
| Length | 110 pages |
| Export Citation | BiBTeX EndNote RefMan |