The Relation of Cobordism to K-TheoriesSpringer, 2006 M11 14 - 116 pages |
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Page 1
... complex X there is con- ( 3 ) ɛ K ( M ( ) ) where M ( ) is the Thom space of § ; we call J ( 5 ) the Thom class of § . Similarly given an SU ( 4k ) -bundle there is ... vector subspace RV of The Thom Isomorphism in K-theory Exterior Algebra.
... complex X there is con- ( 3 ) ɛ K ( M ( ) ) where M ( ) is the Thom space of § ; we call J ( 5 ) the Thom class of § . Similarly given an SU ( 4k ) -bundle there is ... vector subspace RV of The Thom Isomorphism in K-theory Exterior Algebra.
Page 2
P. E. Conner, E. E. Floyd. n = 4k then a real vector subspace RV of AV is selected so that Av is identified with the ... complex inner product space V of dimension n . To fit with quaternionic notation , the complex numbers are taken to ...
P. E. Conner, E. E. Floyd. n = 4k then a real vector subspace RV of AV is selected so that Av is identified with the ... complex inner product space V of dimension n . To fit with quaternionic notation , the complex numbers are taken to ...
Page 4
... complex inner product space V of dimension n , with given SU - structure . If n = 4k + 2 then AV becomes a right quaternionic vector space by defining Y⚫j = ( Y ) for Y & ɅV . Moreover SU ( n ) acts on AV in a quaternionic linear ...
... complex inner product space V of dimension n , with given SU - structure . If n = 4k + 2 then AV becomes a right quaternionic vector space by defining Y⚫j = ( Y ) for Y & ɅV . Moreover SU ( n ) acts on AV in a quaternionic linear ...
Page 5
... vector spaces Rody and Rev. 2 . Tensor products of exterior algebras . Let V and W be complex inner product spaces ... space while if m = 0 mod 4 we obtain a Z - graded real vector space RV . A main purpose of this section is to prove ...
... vector spaces Rody and Rev. 2 . Tensor products of exterior algebras . Let V and W be complex inner product spaces ... space while if m = 0 mod 4 we obtain a Z - graded real vector space RV . A main purpose of this section is to prove ...
Page 10
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abelian group algebra base point bordism bordism classes BSp(n bundle map c₁ ch+k characteristic classes Chern classes Chern numbers closed U-manifold cobordism coefficient groups cohomology theory complex inner product complex vector space consider COROLLARY CP(n CW pair X,A define denote diagram dimension Dold element epimorphism ɛ K(M finite CW complex finite CW pair framed manifold Hence Hirzebruch homotopy class Hopf HP(n identified induced inner product space integer K-theory kernel KSP(X LEMMA line bundle M²n map f module monomial MSU 4k MU(k multiplicative cohomology theory n+2k ñ¹(x P₁ partition polynomial Proof quaternionic quaternionic vector space Similarly stable tangent bundle stably framed manifold SU(n Suppose theorem Thom class Thom space Todd genus trivial U-structure U(n)-bundle unitary vector space bundle Z-graded εΩ Ωυ हु