Talk:Lefschetz fixed-point theorem

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 $$\chi(M)=\Lambda_{id}(M)$$. Anyone know more about this? MotherFunctor 05:55, 28 May 2006 (UTC)
 * The connection is now explained.24.58.63.18 (talk) 19:07, 4 June 2009 (UTC)

References for the statements about Frobenius
it would be nice to have a reference (to look up proofs) for the statements about the Frobenius. --79.83.77.245 (talk) 00:49, 19 January 2010 (UTC)