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math.GT2008
Mod-2 Equivalence of the K-theoretic Euler and Signature Classes
James F. Davis, Pisheng Ding
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 eq…
math.GT1998
S_3 x S_3 acts freely on S^3 x S^3
James F. Davis
A free action of the direct product of two copies of the symmetric group on 3 elements on the cartesian product of two copies of the 3-sphere is constructed. This nonlinear action…