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Mod-2 Equivalence of the K-theoretic Euler and Signature Classes

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 نشر من قبل Pisheng Ding
 تاريخ النشر 2008
  مجال البحث
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This note proves that, as K-theory elements, the symbol classes of the de Rham operator and the signature operator on a closed manifold of even dimension are congruent mod 2. An equivariant generalization is given pertaining to the equivariant Euler characteristic and the multi-signature.



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