Mod 3 congruence and twisted signature of 24 dimensional string manifolds
نویسندگان
چکیده
Let M be a 2n dimensional smooth closed oriented manifold. Let g be a Riemmian metric on TM and ∇ the associated Levi-Civita connection. Let V be a complex vector bundle over M with a Hermitian metric h and a unitary connection ∇ . Let ΛC(T ∗M) be the complexified exterior algebra bundle of TM and let 〈 , 〉ΛC(T∗M) be the Hermitian metric on ΛC(T ∗M) induced by g . Let dv be the Riemannian volume form associated to g . Then Γ(M,ΛC(T ∗M)) has a Hermitian metric such that for α, α′ ∈ Γ(M,ΛC(T ∗M)),
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