## The Relation of Cobordism to K-theories |

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... 1 ( V + W ) = 10 RAW of graded algebras , then V + W receives the su - structure oso o . According to section 1 , if 1 2 m = 2 mod 4 we consider av as a 22 - graded quaternionic vector space while if m = 0 mod 4 we

... 1 ( V + W ) = 10 RAW of graded algebras , then V + W receives the su - structure oso o . According to section 1 , if 1 2 m = 2 mod 4 we consider av as a 22 - graded quaternionic vector space while if m = 0 mod 4 we

**obtain**a 22 ...Page 7

Define a left action of Hon AW by q Y = y • , so that we

Define a left action of Hon AW by q Y = y • , so that we

**obtain**a real vector space Λν v ßj AW . Here we write an element q as a + j where de , ß eo H There is and define a = 2-3 ] ; this is an anti - automorphism of H. a natural ...Page 49

Letting n → , we

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 ) represents an element of [ HP ( n ) , MSp ( 1 ) ] . By suspension we**obtain**...### What people are saying - Write a review

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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