## The Relation of Cobordism to K-theories |

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Various topics are treated along the way , in particular

Various topics are treated along the way , in particular

**cobordism**characteristic**classes**. a fr framed**bordism**groups fr ( point ) are just the stable stems TT a n n + k is embedded in a natural way in M , and one can thus There is the ...Page 69

In section 12 we consider the bordism group 2 of closed U - manifolds of dimension n ; the elements of nu are the

In section 12 we consider the bordism group 2 of closed U - manifolds of dimension n ; the elements of nu are the

**bordism classes**[ M ] of closed differentiable manifolds n with a given complex structure on the stable tangent bundle .Page 72

integer < 1 , ( aren ) ... c4_ ( nem ) , o ( open , > , ' in'- ° in ran ( m2n , on the orientation 2n 2n € 1,12 • Ci р р 2n the value of the cup product

integer < 1 , ( aren ) ... c4_ ( nem ) , o ( open , > , ' in'- ° in ran ( m2n , on the orientation 2n 2n € 1,12 • Ci р р 2n the value of the cup product

**class**oe H. ( men ) . 2n We shall be first of all concerned in this chapter with ...### 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