The Relation of Cobordism to K-theories |
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Page 18
... one sees that d1P " P209 ) = 115.5709 " ) * 017109 " ) is identified with the usual product of K - theory K ( X ... over Y. Let 5 denote a U ( m ) -bundle over a space X and 7 a U ( n ) -bundle Then we identify M ( 5 XY ) with M ( 5 ) ...
... one sees that d1P " P209 ) = 115.5709 " ) * 017109 " ) is identified with the usual product of K - theory K ( X ... over Y. Let 5 denote a U ( m ) -bundle over a space X and 7 a U ( n ) -bundle Then we identify M ( 5 XY ) with M ( 5 ) ...
Page 30
The sphere bundle S ( E ) X associated with sis thus identified with the natural map E ( 5 ) / U ( n - 1 ) – > X. If sis taken to be a universal bundle for U ( n ) so that X = BU ( n ) , then gis also universal with respect to the ...
The sphere bundle S ( E ) X associated with sis thus identified with the natural map E ( 5 ) / U ( n - 1 ) – > X. If sis taken to be a universal bundle for U ( n ) so that X = BU ( n ) , then gis also universal with respect to the ...
Page 49
According to ( 4.3 ) , the Thom space M ( S ) is identified with HP ( n + 1 ) . Letting n → , we obtain a universal Sp ( 1 ) -bundle Gover HP ( 0 ) , and n MSp ( 1 ) = M ( 5 ) CHP ( 0 ) . For each n , the inclusion i : HP ( n ) CHP ( 0 ) ...
According to ( 4.3 ) , the Thom space M ( S ) is identified with HP ( n + 1 ) . Letting n → , we obtain a universal Sp ( 1 ) -bundle Gover HP ( 0 ) , and n MSp ( 1 ) = M ( 5 ) CHP ( 0 ) . For each n , the inclusion i : HP ( n ) CHP ( 0 ) ...
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Contents
CONTENTS 1 | 1 |
Tensor products of exterior algebras | 5 |
Application to bundles | 11 |
Copyright | |
16 other sections not shown
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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 |