Talk:Lefschetz fixed-point theorem

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[edit] Lefschetz number

is defined arbitrarily for maps X\rightarrow X, then if we use the identity map we get \Lambda_{id}=\#(\Delta,\Delta,M\times M)=\chi(M) is the intersection number of the diagonal with itself in the product manifold M\times M, i.e., the Euler characteristic. On the algebraic topological level I'm sure this holds too, that χ(M) = Λid(M). Anyone know more about this? MotherFunctor 05:55, 28 May 2006 (UTC)