## The Relation of Cobordism to K-theories |

### From inside the book

Results 1-3 of 11

Page 89

Tin ) That is , let 12p ? be a direct product of ( n ) copies of T

Tin ) That is , let 12p ? be a direct product of ( n ) copies of T

**partitions**{ 11 -... ? In } of n . φ : Ω / > Ω Zn ( TT ( n ) р = number of**partitions**of n ) , and let it be indexed by the Define U U T ( n ) ( 2p ) 2n 2n by IM ) = ( s ...Page 90

Recall that for each

Recall that for each

**partition**and j1 Given integers a ( a t .. ( 14.4 ) w = { 12 , ... , in } with a ( w ) { n the integer swlien ) = Ergy . JX C32 odp ... jylwen ] where the r's are rational 2 ... ? jy varies over all**partitions**of n ...Page 96

a37 , *** , Jy = 32 .. , [ Man , 7 for each

a37 , *** , Jy = 32 .. , [ Man , 7 for each

**partition**of n , and let a = ( a Σ ... Σ 00003 رده ) : : 31 3x3 ] + ... + 3x = n ) . we show that s wla ) is an integer for each**partition**w with dow ) ? n . There is ?### 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