## The Relation of Cobordism to K-theories |

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Page 3

Moreover given a monomial x there is a

Moreover given a monomial x there is a

**unique**monomial ñ with X( 1.1 ) If x is a monomial then ex is the**unique**monomial x with X1 X = 0 . This is readily seen from the definition of T. ( 1.2 ) We have 2x = ( -1 ) kin - k ) x for X ...Page 6

ne 2 ° 11 em + n By ( 1.1 ) , T2X 15 the

ne 2 ° 11 em + n By ( 1.1 ) , T2X 15 the

**unique**monomial ħ with X 1 Ã = 51 and T X is Ý the**unique**monomial Y with YA = Then . 2 ( Xn X ) R ( Y - Y ) = 0 ( -1 ) $ ( 2-0 ) O T 1 ( X® Y ) - ã Q ) = and 2 ( XRY ) = ( -1 ) $ ( m - r ) ...Page 26

... k large na The

... k large na The

**unique**class of bundle maps n k * homotopy class of maps MSU ( K ) 1 MSU ( X ) in the cohomology theory ñ * :, ( . ) . 2k + 7 yields a**unique**→ MSU ( K + X ) , and a product SU It may be seen that ñ * ( • ) 26.### 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