The Relation of Cobordism to K-TheoriesSpringer, 2006 M11 14 - 116 pages |
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... given by related by n Ωυ - Ω -n - n • U = * * The coefficient groups are , taking one case n n Ω U U n U = n " = " ( point ) , ( point ) and are Moreover U n is just the bordism group of all bordism classes [ M ] of closed weakly almost ...
... given by related by n Ωυ - Ω -n - n • U = * * The coefficient groups are , taking one case n n Ω U U n U = n " = " ( point ) , ( point ) and are Moreover U n is just the bordism group of all bordism classes [ M ] of closed weakly almost ...
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... given complex structure on its stable tangent bundle T and a given compatible framing of T restricted to the boundary M. These bordism classes have Chern numbers and hence a Todd genus Τα : Ω U , fr 2n Q , Q.
... given complex structure on its stable tangent bundle T and a given compatible framing of T restricted to the boundary M. These bordism classes have Chern numbers and hence a Todd genus Τα : Ω U , fr 2n Q , Q.
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... given a compact ( U , fr ) -manifold M2 , there is a closed weakly almost complex manifold having the same Chern numbers 2n 2n as M if and only if Td [ M ] is an integer ; this makes use of re- cent theorems of Stong [ 23 ] and Hattori ...
... given a compact ( U , fr ) -manifold M2 , there is a closed weakly almost complex manifold having the same Chern numbers 2n 2n as M if and only if Td [ M ] is an integer ; this makes use of re- cent theorems of Stong [ 23 ] and Hattori ...
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... Given a U ( n ) -bundle structed an element over a finite CW 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 ...
... Given a U ( n ) -bundle structed an element over a finite CW 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 ...
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... given SU- Λ e . By a monomial of AV we mean an en ' It is seen that structure is σ = e1 Λ ... element X = - erl Λ · A erk where г1 < ... < Ik if X and Y are monomials , then 1 if Y X < X , Y > = -1 if Y = -X U otherwise . Moreover given ...
... given SU- Λ e . By a monomial of AV we mean an en ' It is seen that structure is σ = e1 Λ ... element X = - erl Λ · A erk where г1 < ... < Ik if X and Y are monomials , then 1 if Y X < X , Y > = -1 if Y = -X U otherwise . Moreover given ...
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Common terms and phrases
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