The Relation of Cobordism to K-theories |
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U , fr 2n → 12 fr 2n - 1 2n Td Q which gives rise to a homomorphism fr E y : - > Q / z . 2n - 1 This turns out to coincide with a well - known homomorphism of Adams , : fr 2n - 1 → Q / 2 . We are thus able to give a cobordism ...
U , fr 2n → 12 fr 2n - 1 2n Td Q which gives rise to a homomorphism fr E y : - > Q / z . 2n - 1 This turns out to coincide with a well - known homomorphism of Adams , : fr 2n - 1 → Q / 2 . We are thus able to give a cobordism ...
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n i = 0 Upon restriction to U this gives zero . Also consider Σ E i = 0 Since HP ( 5 @p UUV , one sees that ( -1 ) ) T * ( P367 ) ) pn - J , which upon restriction to v gives zero . B ( Σ i = 0 = 0 in h * ( HP ( 5 ( -1 ) 4 77 * ( P ...
n i = 0 Upon restriction to U this gives zero . Also consider Σ E i = 0 Since HP ( 5 @p UUV , one sees that ( -1 ) ) T * ( P367 ) ) pn - J , which upon restriction to v gives zero . B ( Σ i = 0 = 0 in h * ( HP ( 5 ( -1 ) 4 77 * ( P ...
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We could give a complete bordism description of this group , but we forego the tedious details . Given an man , n > 0 , and the associated map 8 : s2n + 2k → MU ( K ) / s2k , there is H2n ( BU ( k ) ) = # 2n 97.
We could give a complete bordism description of this group , but we forego the tedious details . Given an man , n > 0 , and the associated map 8 : s2n + 2k → MU ( K ) / s2k , there is H2n ( BU ( k ) ) = # 2n 97.
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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 |
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